LCM for 34 and 68

What's the Least Common Multiple (LCM) of 34 and 68?

Answer: LCM of 34 and 68 is 68

(Sixty-eight)

Finding LCM for 34 and 68 using GCF's of these numbers

The first method to find LCM for numbers 34 and 68 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 34 and 68 is 34, so

LCM = (34 × 68) ÷ 34

LCM = 2312 ÷ 34

LCM = 68

Finding LCM for 34 and 68 by Listing Multiples

The second method to find LCM for numbers 34 and 68 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 34: 34, 68, 102, 136

Multiples of 68: 68, 136, 204, 272, 340, 408, 476, 544, 612, 680, 748, 816, 884, 952, 1020, 1088, 1156, 1224, 1292, 1360, 1428, 1496, 1564, 1632, 1700, 1768, 1836, 1904, 1972, 2040, 2108, 2176, 2244, 2312, 2380, 2448, 2516, 2584, 2652, 2720, 2788, 2856, 2924, 2992, 3060, 3128, 3196, 3264, 3332, 3400, 3468, 3536, 3604, 3672, 3740, 3808, 3876, 3944, 4012, 4080, 4148, 4216, 4284, 4352, 4420, 4488, 4556, 4624, 4692, 4760, 4828, 4896, 4964, 5032, 5100, 5168, 5236, 5304, 5372, 5440, 5508, 5576, 5644, 5712, 5780, 5848, 5916, 5984, 6052, 6120, 6188, 6256, 6324, 6392, 6460, 6528, 6596, 6664, 6732, 6800, 6868, 6936, 7004, 7072, 7140, 7208, 7276, 7344, 7412, 7480, 7548, 7616, 7684, 7752, 7820, 7888, 7956, 8024, 8092, 8160, 8228, 8296, 8364, 8432, 8500, 8568, 8636, 8704, 8772, 8840, 8908, 8976, 9044, 9112, 9180, 9248, 9316, 9384, 9452, 9520, 9588, 9656, 9724, 9792, 9860, 9928, 9996, 10064, 10132, 10200, 10268, 10336, 10404, 10472, 10540, 10608, 10676, 10744, 10812, 10880, 10948, 11016, 11084, 11152, 11220, 11288, 11356, 11424, 11492, 11560, 11628, 11696, 11764, 11832, 11900, 11968, 12036, 12104, 12172, 12240, 12308, 12376, 12444, 12512, 12580, 12648, 12716, 12784, 12852, 12920, 12988, 13056, 13124, 13192, 13260, 13328, 13396, 13464, 13532, 13600, 13668, 13736, 13804, 13872, 13940, 14008, 14076, 14144, 14212, 14280, 14348, 14416, 14484, 14552, 14620, 14688, 14756, 14824, 14892, 14960, 15028, 15096, 15164, 15232, 15300, 15368, 15436, 15504, 15572, 15640, 15708, 15776, 15844, 15912, 15980, 16048, 16116, 16184, 16252, 16320, 16388, 16456, 16524, 16592, 16660, 16728, 16796, 16864, 16932, 17000, 17068, 17136, 17204, 17272, 17340, 17408, 17476, 17544, 17612, 17680, 17748, 17816, 17884, 17952, 18020, 18088, 18156, 18224, 18292, 18360, 18428, 18496, 18564, 18632, 18700, 18768, 18836, 18904, 18972, 19040, 19108, 19176, 19244, 19312, 19380, 19448, 19516, 19584, 19652, 19720, 19788, 19856, 19924, 19992, 20060, 20128, 20196, 20264, 20332, 20400, 20468, 20536, 20604, 20672, 20740, 20808, 20876, 20944, 21012, 21080, 21148, 21216, 21284, 21352, 21420, 21488, 21556, 21624, 21692, 21760, 21828, 21896, 21964, 22032, 22100, 22168, 22236, 22304, 22372, 22440, 22508, 22576, 22644, 22712, 22780, 22848, 22916, 22984, 23052, 23120, 23188, 23256, 23324, 23392, 23460, 23528, 23596, 23664, 23732, 23800, 23868, 23936, 24004, 24072, 24140, 24208, 24276, 24344, 24412, 24480, 24548, 24616, 24684, 24752, 24820, 24888, 24956, 25024, 25092, 25160, 25228, 25296, 25364, 25432, 25500, 25568, 25636, 25704, 25772, 25840, 25908, 25976, 26044, 26112, 26180, 26248, 26316, 26384, 26452, 26520, 26588, 26656, 26724, 26792, 26860, 26928, 26996, 27064, 27132, 27200, 27268, 27336, 27404, 27472, 27540, 27608, 27676, 27744, 27812, 27880, 27948, 28016, 28084, 28152, 28220, 28288, 28356, 28424, 28492, 28560, 28628, 28696, 28764, 28832, 28900, 28968, 29036, 29104, 29172, 29240, 29308, 29376, 29444, 29512, 29580, 29648, 29716, 29784, 29852, 29920, 29988, 30056, 30124, 30192, 30260, 30328, 30396, 30464, 30532, 30600, 30668, 30736, 30804, 30872, 30940, 31008, 31076, 31144, 31212, 31280, 31348, 31416, 31484, 31552, 31620, 31688, 31756, 31824, 31892, 31960, 32028, 32096, 32164, 32232, 32300, 32368, 32436, 32504, 32572, 32640, 32708, 32776, 32844, 32912, 32980, 33048, 33116, 33184, 33252, 33320, 33388, 33456, 33524, 33592, 33660, 33728, 33796, 33864, 33932, 34000, 34068, 34136, 34204, 34272, 34340, 34408, 34476, 34544, 34612, 34680, 34748, 34816, 34884, 34952, 35020, 35088, 35156, 35224, 35292, 35360, 35428, 35496, 35564, 35632, 35700, 35768, 35836, 35904, 35972, 36040, 36108, 36176, 36244, 36312, 36380, 36448, 36516, 36584, 36652, 36720, 36788, 36856, 36924, 36992, 37060, 37128, 37196, 37264, 37332, 37400, 37468, 37536, 37604, 37672, 37740, 37808, 37876, 37944, 38012, 38080, 38148, 38216, 38284, 38352, 38420, 38488, 38556, 38624, 38692, 38760, 38828, 38896, 38964, 39032, 39100, 39168, 39236, 39304, 39372, 39440, 39508, 39576, 39644, 39712, 39780, 39848, 39916, 39984, 40052, 40120, 40188, 40256, 40324, 40392, 40460, 40528, 40596, 40664, 40732, 40800, 40868, 40936, 41004, 41072, 41140, 41208, 41276, 41344, 41412, 41480, 41548, 41616, 41684, 41752, 41820, 41888, 41956, 42024, 42092, 42160, 42228, 42296, 42364, 42432, 42500, 42568, 42636, 42704, 42772, 42840, 42908, 42976, 43044, 43112, 43180, 43248, 43316, 43384, 43452, 43520, 43588, 43656, 43724, 43792, 43860, 43928, 43996, 44064, 44132, 44200, 44268, 44336, 44404, 44472, 44540, 44608, 44676, 44744, 44812, 44880, 44948, 45016, 45084, 45152, 45220, 45288, 45356, 45424, 45492, 45560, 45628, 45696, 45764, 45832, 45900, 45968, 46036, 46104, 46172, 46240, 46308, 46376, 46444, 46512, 46580, 46648, 46716, 46784, 46852, 46920, 46988, 47056, 47124, 47192, 47260, 47328, 47396, 47464, 47532, 47600, 47668, 47736, 47804, 47872, 47940, 48008, 48076, 48144, 48212, 48280, 48348, 48416, 48484, 48552, 48620, 48688, 48756, 48824, 48892, 48960, 49028, 49096, 49164, 49232, 49300, 49368, 49436, 49504, 49572, 49640, 49708, 49776, 49844, 49912, 49980, 50048, 50116, 50184, 50252, 50320, 50388, 50456, 50524, 50592, 50660, 50728, 50796, 50864, 50932, 51000, 51068, 51136, 51204, 51272, 51340, 51408, 51476, 51544, 51612, 51680, 51748, 51816, 51884, 51952, 52020, 52088, 52156, 52224, 52292, 52360, 52428, 52496, 52564, 52632, 52700, 52768, 52836, 52904, 52972, 53040, 53108, 53176, 53244, 53312, 53380, 53448, 53516, 53584, 53652, 53720, 53788, 53856, 53924, 53992, 54060, 54128, 54196, 54264, 54332, 54400, 54468, 54536, 54604, 54672, 54740, 54808, 54876, 54944, 55012, 55080, 55148, 55216, 55284, 55352, 55420, 55488, 55556, 55624, 55692, 55760, 55828, 55896, 55964, 56032, 56100, 56168, 56236, 56304, 56372, 56440, 56508, 56576, 56644, 56712, 56780, 56848, 56916, 56984, 57052, 57120, 57188, 57256, 57324, 57392, 57460, 57528, 57596, 57664, 57732, 57800, 57868, 57936, 58004, 58072, 58140, 58208, 58276, 58344, 58412, 58480, 58548, 58616, 58684, 58752, 58820, 58888, 58956, 59024, 59092, 59160, 59228, 59296, 59364, 59432, 59500, 59568, 59636, 59704, 59772, 59840, 59908, 59976, 60044, 60112, 60180, 60248, 60316, 60384, 60452, 60520, 60588, 60656, 60724, 60792, 60860, 60928, 60996, 61064, 61132, 61200, 61268, 61336, 61404, 61472, 61540, 61608, 61676, 61744, 61812, 61880, 61948, 62016, 62084, 62152, 62220, 62288, 62356, 62424, 62492, 62560, 62628, 62696, 62764, 62832, 62900, 62968, 63036, 63104, 63172, 63240, 63308, 63376, 63444, 63512, 63580, 63648, 63716, 63784, 63852, 63920, 63988, 64056, 64124, 64192, 64260, 64328, 64396, 64464, 64532, 64600, 64668, 64736, 64804, 64872, 64940, 65008, 65076, 65144, 65212, 65280, 65348, 65416, 65484, 65552, 65620, 65688, 65756, 65824, 65892, 65960, 66028, 66096, 66164, 66232, 66300, 66368, 66436, 66504, 66572, 66640, 66708, 66776, 66844, 66912, 66980, 67048, 67116, 67184, 67252, 67320, 67388, 67456, 67524, 67592, 67660, 67728, 67796, 67864, 67932, 68000, [...], 68

So the LCM for 34 and 68 is 68

Finding LCM for 34 and 68 by Prime Factorization

Another method to find LCM for numbers 34 and 68 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 34: 2, 17 (exponent form: 21, 171)

All Prime Factors of 68: 2, 2, 17 (exponent form: 22, 171)

22 × 171 = 68

LCM Table

Number 1Number 2LCM
19681292
2068340
21681428
2268748
23681564
2468
25681700
2668884
27681836
2868
29681972
30681020
31682108
3268544
33682244
3468
35682380
3668612
37682516
38681292
39682652
4068680
41682788
42681428
43682924
4468748
45683060
46681564
47683196
4868816

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 34 and 68? (The answer is: 68). Select the first number (e.g. '34') and the second number (e.g. '68'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

FAQ

What's the Least Common Multiple (LCM) of 34 and 68?

LCM of 34 and 68 is 68