What is the Least Common Multiple of 90549 and 90564?

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 90549 and 90564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90549 and 90564, than apply into the LCM equation.

GCF(90549,90564) = 3
LCM(90549,90564) = ( 90549 × 90564) / 3
LCM(90549,90564) = 8200479636 / 3
LCM(90549,90564) = 2733493212

Least Common Multiple (LCM) of 90549 and 90564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90549 and 90564. First we will calculate the prime factors of 90549 and 90564.

Prime Factorization of 90549

Prime Factorization of 90564

Now multiplying the highest exponent prime factors to calculate the LCM of 90549 and 90564.

LCM(90549,90564) = 3² × 10061¹ × 2² × 7547¹
LCM(90549,90564) = 2733493212