What is the Least Common Multiple of 48036 and 48044?

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 48036 and 48044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48036 and 48044, than apply into the LCM equation.

GCF(48036,48044) = 4
LCM(48036,48044) = ( 48036 × 48044) / 4
LCM(48036,48044) = 2307841584 / 4
LCM(48036,48044) = 576960396

Least Common Multiple (LCM) of 48036 and 48044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48036 and 48044. First we will calculate the prime factors of 48036 and 48044.

Prime Factorization of 48036

Prime Factorization of 48044

Now multiplying the highest exponent prime factors to calculate the LCM of 48036 and 48044.

LCM(48036,48044) = 2² × 3¹ × 4003¹ × 12011¹
LCM(48036,48044) = 576960396