What is the Least Common Multiple of 49008 and 49024?

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 49008 and 49024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49008 and 49024, than apply into the LCM equation.

GCF(49008,49024) = 16
LCM(49008,49024) = ( 49008 × 49024) / 16
LCM(49008,49024) = 2402568192 / 16
LCM(49008,49024) = 150160512

Least Common Multiple (LCM) of 49008 and 49024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49008 and 49024. First we will calculate the prime factors of 49008 and 49024.

Prime Factorization of 49008

Prime Factorization of 49024

Now multiplying the highest exponent prime factors to calculate the LCM of 49008 and 49024.

LCM(49008,49024) = 2⁷ × 3¹ × 1021¹ × 383¹
LCM(49008,49024) = 150160512