LCM for 3 and 60

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 3 and 60?

Answer

LCM of 3 and 60 is

First common multiples: 60, 120, 180, …

As a common denominator: multiply the top and bottom of x/3 by 20.

3 divides 60 (60 ÷ 3 = 20), so the LCM is the larger number itself.

3 — prime

60 = 2² × 3 × 5

Prime	3	60	Highest power
2	—	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
3	19	57
3	20	60
3	21	21
3	22	66
3	23	69
3	25	75
3	28	84
3	30	30
3	33	33
3	35	105
3	36	36
3	37	111
3	39	39
3	40	120
3	42	42
3	43	129
3	44	132
3	45	45
3	46	138
3	49	147
3	51	51
3	52	156
3	57	57
3	58	174
3	59	177
3	60	60
3	65	195
3	75	75
3	81	81
3	100	300

FAQ

What's the Least Common Multiple (LCM) of 3 and 60?

LCM of 3 and 60 is 60

How to find the LCM of 3 and 60 using prime factorization?

To find the LCM of 3 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 3 and 60: LCM = 60, GCF = 3.

LCM for 3 and 60

What's the Least Common Multiple (LCM) of 3 and 60?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 3 and 60?

How to find the LCM of 3 and 60 using prime factorization?

What is the difference between LCM and GCF?

See Also

Number 1	Number 2	LCM
3	19	57
3	20	60
3	21	21
3	22	66
3	23	69
3	25	75
3	28	84
3	30	30
3	33	33
3	35	105
3	36	36
3	37	111
3	39	39
3	40	120
3	42	42
3	43	129
3	44	132
3	45	45
3	46	138
3	49	147
3	51	51
3	52	156
3	57	57
3	58	174
3	59	177
3	60	60
3	65	195
3	75	75
3	81	81
3	100	300

Number 1	Number 2	LCM
3	19	57
3	20	60
3	21	21
3	22	66
3	23	69
3	25	75
3	28	84
3	30	30
3	33	33
3	35	105
3	36	36
3	37	111
3	39	39
3	40	120
3	42	42
3	43	129
3	44	132
3	45	45
3	46	138
3	49	147
3	51	51
3	52	156
3	57	57
3	58	174
3	59	177
3	60	60
3	65	195
3	75	75
3	81	81
3	100	300

Number 1	Number 2	LCM
3	19	57
3	20	60
3	21	21
3	22	66
3	23	69
3	25	75
3	28	84
3	30	30
3	33	33
3	35	105
3	36	36
3	37	111
3	39	39
3	40	120
3	42	42
3	43	129
3	44	132
3	45	45
3	46	138
3	49	147
3	51	51
3	52	156
3	57	57
3	58	174
3	59	177
3	60	60
3	65	195
3	75	75
3	81	81
3	100	300