What is the Least Common Multiple of 90552 and 90567?

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 90552 and 90567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90552 and 90567, than apply into the LCM equation.

GCF(90552,90567) = 3
LCM(90552,90567) = ( 90552 × 90567) / 3
LCM(90552,90567) = 8201022984 / 3
LCM(90552,90567) = 2733674328

Least Common Multiple (LCM) of 90552 and 90567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90552 and 90567. First we will calculate the prime factors of 90552 and 90567.

Prime Factorization of 90552

Prime Factorization of 90567

Now multiplying the highest exponent prime factors to calculate the LCM of 90552 and 90567.

LCM(90552,90567) = 2³ × 3² × 7³ × 11¹ × 29¹ × 347¹
LCM(90552,90567) = 2733674328