What is the Least Common Multiple of 49032 and 49038?

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 49032 and 49038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49032 and 49038, than apply into the LCM equation.

GCF(49032,49038) = 6
LCM(49032,49038) = ( 49032 × 49038) / 6
LCM(49032,49038) = 2404431216 / 6
LCM(49032,49038) = 400738536

Least Common Multiple (LCM) of 49032 and 49038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49032 and 49038. First we will calculate the prime factors of 49032 and 49038.

Prime Factorization of 49032

Prime Factorization of 49038

Now multiplying the highest exponent prime factors to calculate the LCM of 49032 and 49038.

LCM(49032,49038) = 2³ × 3³ × 227¹ × 11¹ × 743¹
LCM(49032,49038) = 400738536