LCM for 67 and 78

What's the Least Common Multiple (LCM) of 67 and 78?

Answer: LCM of 67 and 78 is 5,226

(Five thousand, two hundred twenty-six)

Finding LCM for 67 and 78 using GCF's of these numbers

The first method to find LCM for numbers 67 and 78 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 67 and 78 is 1, so

LCM = (67 × 78) ÷ 1

LCM = 5226 ÷ 1

LCM = 5226

Finding LCM for 67 and 78 by Listing Multiples

The second method to find LCM for numbers 67 and 78 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 67: 67, 134, 201, 268, 335, 402, 469, 536, 603, 670, 737, 804, 871, 938, 1005, 1072, 1139, 1206, 1273, 1340, 1407, 1474, 1541, 1608, 1675, 1742, 1809, 1876, 1943, 2010, 2077, 2144, 2211, 2278, 2345, 2412, 2479, 2546, 2613, 2680, 2747, 2814, 2881, 2948, 3015, 3082, 3149, 3216, 3283, 3350, 3417, 3484, 3551, 3618, 3685, 3752, 3819, 3886, 3953, 4020, 4087, 4154, 4221, 4288, 4355, 4422, 4489, 4556, 4623, 4690, 4757, 4824, 4891, 4958, 5025, 5092, 5159, 5226, 5293, 5360

Multiples of 78: 78, 156, 234, 312, 390, 468, 546, 624, 702, 780, 858, 936, 1014, 1092, 1170, 1248, 1326, 1404, 1482, 1560, 1638, 1716, 1794, 1872, 1950, 2028, 2106, 2184, 2262, 2340, 2418, 2496, 2574, 2652, 2730, 2808, 2886, 2964, 3042, 3120, 3198, 3276, 3354, 3432, 3510, 3588, 3666, 3744, 3822, 3900, 3978, 4056, 4134, 4212, 4290, 4368, 4446, 4524, 4602, 4680, 4758, 4836, 4914, 4992, 5070, 5148, 5226, 5304, 5382

So the LCM for 67 and 78 is 5226

Finding LCM for 67 and 78 by Prime Factorization

Another method to find LCM for numbers 67 and 78 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 67: 67 (exponent form: 671)

All Prime Factors of 78: 2, 3, 13 (exponent form: 21, 31, 131)

671 × 21 × 31 × 131 = 5226

LCM Table

Number 1Number 2LCM
5278
53784134
5478702
55784290
56782184
57781482
58782262
59784602
6078780
61784758
62782418
63781638
64782496
6578390
6678858
6778
68782652
69781794
70782730
71785538
7278936
73785694
74782886
75781950
7678
77786006
787878
79786162
80783120
81782106

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 67 and 78? (The answer is: 5226). Select the first number (e.g. '67') and the second number (e.g. '78'). 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 67 and 78?

LCM of 67 and 78 is 5,226