What is the Least Common Multiple of 89808 and 89824?

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 89808 and 89824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89808 and 89824, than apply into the LCM equation.

GCF(89808,89824) = 16
LCM(89808,89824) = ( 89808 × 89824) / 16
LCM(89808,89824) = 8066913792 / 16
LCM(89808,89824) = 504182112

Least Common Multiple (LCM) of 89808 and 89824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89808 and 89824. First we will calculate the prime factors of 89808 and 89824.

Prime Factorization of 89808

Prime Factorization of 89824

Now multiplying the highest exponent prime factors to calculate the LCM of 89808 and 89824.

LCM(89808,89824) = 2⁵ × 3¹ × 1871¹ × 7¹ × 401¹
LCM(89808,89824) = 504182112