What is the Least Common Multiple of 89910 and 89924?

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 89910 and 89924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89910 and 89924, than apply into the LCM equation.

GCF(89910,89924) = 2
LCM(89910,89924) = ( 89910 × 89924) / 2
LCM(89910,89924) = 8085066840 / 2
LCM(89910,89924) = 4042533420

Least Common Multiple (LCM) of 89910 and 89924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89910 and 89924. First we will calculate the prime factors of 89910 and 89924.

Prime Factorization of 89910

Prime Factorization of 89924

Now multiplying the highest exponent prime factors to calculate the LCM of 89910 and 89924.

LCM(89910,89924) = 2² × 3⁵ × 5¹ × 37¹ × 22481¹
LCM(89910,89924) = 4042533420