What is the Least Common Multiple of 89708 and 89728?

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 89708 and 89728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89708 and 89728, than apply into the LCM equation.

GCF(89708,89728) = 4
LCM(89708,89728) = ( 89708 × 89728) / 4
LCM(89708,89728) = 8049319424 / 4
LCM(89708,89728) = 2012329856

Least Common Multiple (LCM) of 89708 and 89728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89708 and 89728. First we will calculate the prime factors of 89708 and 89728.

Prime Factorization of 89708

Prime Factorization of 89728

Now multiplying the highest exponent prime factors to calculate the LCM of 89708 and 89728.

LCM(89708,89728) = 2⁷ × 41¹ × 547¹ × 701¹
LCM(89708,89728) = 2012329856