What is the Least Common Multiple of 90544 and 90560?

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 90544 and 90560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90544 and 90560, than apply into the LCM equation.

GCF(90544,90560) = 16
LCM(90544,90560) = ( 90544 × 90560) / 16
LCM(90544,90560) = 8199664640 / 16
LCM(90544,90560) = 512479040

Least Common Multiple (LCM) of 90544 and 90560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90544 and 90560. First we will calculate the prime factors of 90544 and 90560.

Prime Factorization of 90544

Prime Factorization of 90560

Now multiplying the highest exponent prime factors to calculate the LCM of 90544 and 90560.

LCM(90544,90560) = 2⁶ × 5659¹ × 5¹ × 283¹
LCM(90544,90560) = 512479040