What is the Least Common Multiple of 49128 and 49143?

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 49128 and 49143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49128 and 49143, than apply into the LCM equation.

GCF(49128,49143) = 3
LCM(49128,49143) = ( 49128 × 49143) / 3
LCM(49128,49143) = 2414297304 / 3
LCM(49128,49143) = 804765768

Least Common Multiple (LCM) of 49128 and 49143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49128 and 49143. First we will calculate the prime factors of 49128 and 49143.

Prime Factorization of 49128

Prime Factorization of 49143

Now multiplying the highest exponent prime factors to calculate the LCM of 49128 and 49143.

LCM(49128,49143) = 2³ × 3¹ × 23¹ × 89¹ × 16381¹
LCM(49128,49143) = 804765768