What is the Least Common Multiple of 89520 and 89536?

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 89520 and 89536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89520 and 89536, than apply into the LCM equation.

GCF(89520,89536) = 16
LCM(89520,89536) = ( 89520 × 89536) / 16
LCM(89520,89536) = 8015262720 / 16
LCM(89520,89536) = 500953920

Least Common Multiple (LCM) of 89520 and 89536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89520 and 89536. First we will calculate the prime factors of 89520 and 89536.

Prime Factorization of 89520

Prime Factorization of 89536

Now multiplying the highest exponent prime factors to calculate the LCM of 89520 and 89536.

LCM(89520,89536) = 2⁶ × 3¹ × 5¹ × 373¹ × 1399¹
LCM(89520,89536) = 500953920