What is the Least Common Multiple of 90537 and 90552?

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 90537 and 90552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90537 and 90552, than apply into the LCM equation.

GCF(90537,90552) = 3
LCM(90537,90552) = ( 90537 × 90552) / 3
LCM(90537,90552) = 8198306424 / 3
LCM(90537,90552) = 2732768808

Least Common Multiple (LCM) of 90537 and 90552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90537 and 90552. First we will calculate the prime factors of 90537 and 90552.

Prime Factorization of 90537

Prime Factorization of 90552

Now multiplying the highest exponent prime factors to calculate the LCM of 90537 and 90552.

LCM(90537,90552) = 3¹ × 103¹ × 293¹ × 2³ × 7³ × 11¹
LCM(90537,90552) = 2732768808