What is the Least Common Multiple of 21567 and 21577?

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 21567 and 21577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21567 and 21577, than apply into the LCM equation.

GCF(21567,21577) = 1
LCM(21567,21577) = ( 21567 × 21577) / 1
LCM(21567,21577) = 465351159 / 1
LCM(21567,21577) = 465351159

Least Common Multiple (LCM) of 21567 and 21577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21567 and 21577. First we will calculate the prime factors of 21567 and 21577.

Prime Factorization of 21567

Prime Factorization of 21577

Now multiplying the highest exponent prime factors to calculate the LCM of 21567 and 21577.

LCM(21567,21577) = 3¹ × 7¹ × 13¹ × 79¹ × 21577¹
LCM(21567,21577) = 465351159