What is the Least Common Multiple of 21595 and 21609?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 21595 and 21609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21595 and 21609, than apply into the LCM equation.

GCF(21595,21609) = 7
LCM(21595,21609) = ( 21595 × 21609) / 7
LCM(21595,21609) = 466646355 / 7
LCM(21595,21609) = 66663765

Least Common Multiple (LCM) of 21595 and 21609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21595 and 21609. First we will calculate the prime factors of 21595 and 21609.

Prime Factorization of 21595

Prime Factorization of 21609

Now multiplying the highest exponent prime factors to calculate the LCM of 21595 and 21609.

LCM(21595,21609) = 5¹ × 7⁴ × 617¹ × 3²
LCM(21595,21609) = 66663765