LCM for 59 and 60

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 59 and 60?

Answer

LCM of 59 and 60 is

3,540

First common multiples: 3,540; 7,080; 10,620; …

3,540 is divisible by both: 3,540 ÷ 59 = 60; 3,540 ÷ 60 = 59 — and 60 and 59 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/59 by 60 and of y/60 by 59.

59 and 60 are coprime (GCF = 1), so their LCM is simply the product: 59 × 60 = 3,540.

59 — prime

60 = 2² × 3 × 5

Prime	59	60	Highest power
2	—	2²	2²
3	—	3	3
5	—	5	5
59	59	—	59

— = 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 × 59 = 3,540

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LCM Table

Number 1	Number 2	LCM
59	45	2,655
59	46	2,714
59	47	2,773
59	48	2,832
59	49	2,891
59	50	2,950
59	51	3,009
59	52	3,068
59	53	3,127
59	54	3,186
59	55	3,245
59	56	3,304
59	57	3,363
59	58	3,422
59	59	59
59	60	3,540
59	61	3,599
59	62	3,658
59	63	3,717
59	64	3,776
59	65	3,835
59	66	3,894
59	67	3,953
59	68	4,012
59	69	4,071
59	70	4,130
59	71	4,189
59	72	4,248
59	73	4,307
59	74	4,366

FAQ

What's the Least Common Multiple (LCM) of 59 and 60?

LCM of 59 and 60 is 3,540

How to find the LCM of 59 and 60 using prime factorization?

To find the LCM of 59 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,540.

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 59 and 60: LCM = 3,540, GCF = 1.

LCM for 59 and 60

What's the Least Common Multiple (LCM) of 59 and 60?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 59 and 60?

How to find the LCM of 59 and 60 using prime factorization?

What is the difference between LCM and GCF?

See Also