What is the Least Common Multiple of 81564 and 81578?

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 81564 and 81578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81564 and 81578, than apply into the LCM equation.

GCF(81564,81578) = 14
LCM(81564,81578) = ( 81564 × 81578) / 14
LCM(81564,81578) = 6653827992 / 14
LCM(81564,81578) = 475273428

Least Common Multiple (LCM) of 81564 and 81578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81564 and 81578. First we will calculate the prime factors of 81564 and 81578.

Prime Factorization of 81564

Prime Factorization of 81578

Now multiplying the highest exponent prime factors to calculate the LCM of 81564 and 81578.

LCM(81564,81578) = 2² × 3¹ × 7¹ × 971¹ × 5827¹
LCM(81564,81578) = 475273428