What is the Least Common Multiple of 49413 and 49428?

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 49413 and 49428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49413 and 49428, than apply into the LCM equation.

GCF(49413,49428) = 3
LCM(49413,49428) = ( 49413 × 49428) / 3
LCM(49413,49428) = 2442385764 / 3
LCM(49413,49428) = 814128588

Least Common Multiple (LCM) of 49413 and 49428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49413 and 49428. First we will calculate the prime factors of 49413 and 49428.

Prime Factorization of 49413

Prime Factorization of 49428

Now multiplying the highest exponent prime factors to calculate the LCM of 49413 and 49428.

LCM(49413,49428) = 3² × 7¹ × 13¹ × 181¹ × 2² × 1373¹
LCM(49413,49428) = 814128588