What is the Least Common Multiple of 89924 and 89932?

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 89924 and 89932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89924 and 89932, than apply into the LCM equation.

GCF(89924,89932) = 4
LCM(89924,89932) = ( 89924 × 89932) / 4
LCM(89924,89932) = 8087045168 / 4
LCM(89924,89932) = 2021761292

Least Common Multiple (LCM) of 89924 and 89932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89924 and 89932. First we will calculate the prime factors of 89924 and 89932.

Prime Factorization of 89924

Prime Factorization of 89932

Now multiplying the highest exponent prime factors to calculate the LCM of 89924 and 89932.

LCM(89924,89932) = 2² × 22481¹ × 22483¹
LCM(89924,89932) = 2021761292