LCM for 18 and 77

What's the Least Common Multiple (LCM) of 18 and 77?

Answer: LCM of 18 and 77 is 1,386

(One thousand, three hundred eighty-six)

Finding LCM for 18 and 77 using GCF's of these numbers

The first method to find LCM for numbers 18 and 77 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 18 and 77 is 1, so

LCM = (18 × 77) ÷ 1

LCM = 1386 ÷ 1

LCM = 1386

Finding LCM for 18 and 77 by Listing Multiples

The second method to find LCM for numbers 18 and 77 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342, 360, 378, 396, 414, 432, 450, 468, 486, 504, 522, 540, 558, 576, 594, 612, 630, 648, 666, 684, 702, 720, 738, 756, 774, 792, 810, 828, 846, 864, 882, 900, 918, 936, 954, 972, 990, 1008, 1026, 1044, 1062, 1080, 1098, 1116, 1134, 1152, 1170, 1188, 1206, 1224, 1242, 1260, 1278, 1296, 1314, 1332, 1350, 1368, 1386, 1404, 1422

Multiples of 77: 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, 924, 1001, 1078, 1155, 1232, 1309, 1386, 1463, 1540

So the LCM for 18 and 77 is 1386

Finding LCM for 18 and 77 by Prime Factorization

Another method to find LCM for numbers 18 and 77 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 18: 2, 3, 3 (exponent form: 21, 32)

All Prime Factors of 77: 7, 11 (exponent form: 71, 111)

21 × 32 × 71 × 111 = 1386

Related Calculations

See Also

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 18 and 77? (The answer is: 1386). Select the first number (e.g. '18') and the second number (e.g. '77'). 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

LCM Table

Number 1Number 2LCM
377231
477308
577385
677462
77777
877616
977693
1077770
117777
1277924
13771001
1477154
15771155
16771232
17771309
1877
19771463
20771540
2177
2277154
23771771
24771848
25771925
26772002
27772079
2877308
29772233
30772310
31772387
32772464

FAQ

What's the Least Common Multiple (LCM) of 18 and 77?

LCM of 18 and 77 is 1,386