LCM for 12 and 60

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 12 and 60?

Answer

LCM of 12 and 60 is

First common multiples: 60, 120, 180, …

As a common denominator: multiply the top and bottom of x/12 by 5.

12 divides 60 (60 ÷ 12 = 5), so the LCM is the larger number itself.

12 = 2² × 3

60 = 2² × 3 × 5

Prime	12	60	Highest power
2	2²	2²	2²
3	3	3	3
5	—	5	5

— = 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 = 60

More with these numbers

Related Calculations

LCM Table

Number 1	Number 2	LCM
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
12	180	180
12	300	300

FAQ

What's the Least Common Multiple (LCM) of 12 and 60?

LCM of 12 and 60 is 60

How to find the LCM of 12 and 60 using prime factorization?

To find the LCM of 12 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 60.

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 60: LCM = 60, GCF = 12.

LCM for 12 and 60

What's the Least Common Multiple (LCM) of 12 and 60?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 12 and 60?

How to find the LCM of 12 and 60 using prime factorization?

What is the difference between LCM and GCF?

See Also

Number 1	Number 2	LCM
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
12	180	180
12	300	300

Number 1	Number 2	LCM
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
12	180	180
12	300	300

Number 1	Number 2	LCM
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
12	180	180
12	300	300