What is the Least Common Multiple of 89524 and 89528?

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 89524 and 89528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89524 and 89528, than apply into the LCM equation.

GCF(89524,89528) = 4
LCM(89524,89528) = ( 89524 × 89528) / 4
LCM(89524,89528) = 8014904672 / 4
LCM(89524,89528) = 2003726168

Least Common Multiple (LCM) of 89524 and 89528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89524 and 89528. First we will calculate the prime factors of 89524 and 89528.

Prime Factorization of 89524

Prime Factorization of 89528

Now multiplying the highest exponent prime factors to calculate the LCM of 89524 and 89528.

LCM(89524,89528) = 2³ × 22381¹ × 19² × 31¹
LCM(89524,89528) = 2003726168