LCM for 12 and 55

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 12 and 55?

Answer

LCM of 12 and 55 is

660

First common multiples: 660; 1,320; 1,980; …

660 is divisible by both: 660 ÷ 12 = 55, 660 ÷ 55 = 12 — and 55 and 12 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/12 by 55 and of y/55 by 12.

12 and 55 are coprime (GCF = 1), so their LCM is simply the product: 12 × 55 = 660.

12 = 2² × 3

55 = 5 × 11

Prime	12	55	Highest power
2	2²	—	2²
3	3	—	3
5	—	5	5
11	—	11	11

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2² × 3 × 5 × 11 = 660

More with these numbers

Related Calculations

LCM Table

Number 1	Number 2	LCM
12	31	372
12	32	96
12	33	132
12	35	420
12	36	36
12	39	156
12	40	120
12	42	84
12	44	132
12	45	180
12	46	276
12	48	48
12	50	300
12	52	156
12	54	108
12	55	660
12	57	228
12	58	348
12	60	60
12	66	132
12	68	204
12	72	72
12	75	300
12	76	228
12	78	156
12	80	240
12	84	84
12	88	264
12	100	300
12	108	108

FAQ

What's the Least Common Multiple (LCM) of 12 and 55?

LCM of 12 and 55 is 660

How to find the LCM of 12 and 55 using prime factorization?

To find the LCM of 12 and 55, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 660.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 12 and 55: LCM = 660, GCF = 1.

LCM for 12 and 55

What's the Least Common Multiple (LCM) of 12 and 55?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 12 and 55?

How to find the LCM of 12 and 55 using prime factorization?

What is the difference between LCM and GCF?

See Also

Number 1	Number 2	LCM
12	31	372
12	32	96
12	33	132
12	35	420
12	36	36
12	39	156
12	40	120
12	42	84
12	44	132
12	45	180
12	46	276
12	48	48
12	50	300
12	52	156
12	54	108
12	55	660
12	57	228
12	58	348
12	60	60
12	66	132
12	68	204
12	72	72
12	75	300
12	76	228
12	78	156
12	80	240
12	84	84
12	88	264
12	100	300
12	108	108

Number 1	Number 2	LCM
12	31	372
12	32	96
12	33	132
12	35	420
12	36	36
12	39	156
12	40	120
12	42	84
12	44	132
12	45	180
12	46	276
12	48	48
12	50	300
12	52	156
12	54	108
12	55	660
12	57	228
12	58	348
12	60	60
12	66	132
12	68	204
12	72	72
12	75	300
12	76	228
12	78	156
12	80	240
12	84	84
12	88	264
12	100	300
12	108	108

Number 1	Number 2	LCM
12	31	372
12	32	96
12	33	132
12	35	420
12	36	36
12	39	156
12	40	120
12	42	84
12	44	132
12	45	180
12	46	276
12	48	48
12	50	300
12	52	156
12	54	108
12	55	660
12	57	228
12	58	348
12	60	60
12	66	132
12	68	204
12	72	72
12	75	300
12	76	228
12	78	156
12	80	240
12	84	84
12	88	264
12	100	300
12	108	108