What is the Least Common Multiple of 90514 and 90528?

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 90514 and 90528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90514 and 90528, than apply into the LCM equation.

GCF(90514,90528) = 2
LCM(90514,90528) = ( 90514 × 90528) / 2
LCM(90514,90528) = 8194051392 / 2
LCM(90514,90528) = 4097025696

Least Common Multiple (LCM) of 90514 and 90528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90514 and 90528. First we will calculate the prime factors of 90514 and 90528.

Prime Factorization of 90514

Prime Factorization of 90528

Now multiplying the highest exponent prime factors to calculate the LCM of 90514 and 90528.

LCM(90514,90528) = 2⁵ × 167¹ × 271¹ × 3¹ × 23¹ × 41¹
LCM(90514,90528) = 4097025696