What is the Least Common Multiple of 89728 and 89744?

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 89728 and 89744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89728 and 89744, than apply into the LCM equation.

GCF(89728,89744) = 16
LCM(89728,89744) = ( 89728 × 89744) / 16
LCM(89728,89744) = 8052549632 / 16
LCM(89728,89744) = 503284352

Least Common Multiple (LCM) of 89728 and 89744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89728 and 89744. First we will calculate the prime factors of 89728 and 89744.

Prime Factorization of 89728

Prime Factorization of 89744

Now multiplying the highest exponent prime factors to calculate the LCM of 89728 and 89744.

LCM(89728,89744) = 2⁷ × 701¹ × 71¹ × 79¹
LCM(89728,89744) = 503284352