LCM for 65 and 75

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What's the Least Common Multiple (LCM) of 65 and 75?

Answer

LCM of 65 and 75 is
975

First common multiples: 975; 1,950; 2,925; …

975 is divisible by both: 975 ÷ 65 = 15, 975 ÷ 75 = 13 — and 15 and 13 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/65 by 15 and of y/75 by 13.

65 = 5 × 13

75 = 3 × 52

Prime6575Highest power
3—33
555252
1313—13

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

LCM = 3 × 52 × 13 = 975

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LCM Table

Number 1Number 2LCM
6560780
65613,965
65624,030
65634,095
65644,160
656565
65664,290
65674,355
65684,420
65694,485
6570910
65714,615
65724,680
65734,745
65744,810
6575975
65764,940
65775,005
6578390
65795,135
65801,040
65815,265
65825,330
65835,395
65845,460
65851,105
65865,590
65875,655
65885,720
65895,785

FAQ

What's the Least Common Multiple (LCM) of 65 and 75?

LCM of 65 and 75 is 975

How to find the LCM of 65 and 75 using prime factorization?

To find the LCM of 65 and 75, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 975.

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 65 and 75: LCM = 975, GCF = 5.

See Also