What is the Least Common Multiple of 89796 and 89808?

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 89796 and 89808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89796 and 89808, than apply into the LCM equation.

GCF(89796,89808) = 12
LCM(89796,89808) = ( 89796 × 89808) / 12
LCM(89796,89808) = 8064399168 / 12
LCM(89796,89808) = 672033264

Least Common Multiple (LCM) of 89796 and 89808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89796 and 89808. First we will calculate the prime factors of 89796 and 89808.

Prime Factorization of 89796

Prime Factorization of 89808

Now multiplying the highest exponent prime factors to calculate the LCM of 89796 and 89808.

LCM(89796,89808) = 2⁴ × 3¹ × 7¹ × 1069¹ × 1871¹
LCM(89796,89808) = 672033264