LCM for 70 and 1,365

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 70 and 1,365?

Answer

LCM of 70 and 1,365 is
2,730

First common multiples: 2,730; 5,460; 8,190; …

2,730 is divisible by both: 2,730 ÷ 70 = 39; 2,730 ÷ 1,365 = 2 — and 39 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/70 by 39 and of y/1,365 by 2.

70 = 2 × 5 × 7

1,365 = 3 × 5 × 7 × 13

Prime701,365Highest power
22—2
3—33
5555
7777
13—1313

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

LCM = 2 × 3 × 5 × 7 × 13 = 2,730

See Also

FAQ

What's the Least Common Multiple (LCM) of 70 and 1,365?

LCM of 70 and 1,365 is 2,730

How to find the LCM of 70 and 1,365 using prime factorization?

To find the LCM of 70 and 1,365, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,730.

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 1,365: LCM = 2,730, GCF = 35.