LCM for 70 and 365

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What's the Least Common Multiple (LCM) of 70 and 365?

Answer

LCM of 70 and 365 is
5,110

First common multiples: 5,110; 10,220; 15,330; …

5,110 is divisible by both: 5,110 ÷ 70 = 73; 5,110 ÷ 365 = 14 — and 73 and 14 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/70 by 73 and of y/365 by 14.

70 = 2 × 5 × 7

365 = 5 × 73

Prime70365Highest power
22—2
5555
77—7
73—7373

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

LCM = 2 × 5 × 7 × 73 = 5,110

See Also

FAQ

What's the Least Common Multiple (LCM) of 70 and 365?

LCM of 70 and 365 is 5,110

How to find the LCM of 70 and 365 using prime factorization?

To find the LCM of 70 and 365, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 5,110.

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 70 and 365: LCM = 5,110, GCF = 5.