What is the Least Common Multiple of 49392 and 49404?

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 49392 and 49404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49392 and 49404, than apply into the LCM equation.

GCF(49392,49404) = 12
LCM(49392,49404) = ( 49392 × 49404) / 12
LCM(49392,49404) = 2440162368 / 12
LCM(49392,49404) = 203346864

Least Common Multiple (LCM) of 49392 and 49404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49392 and 49404. First we will calculate the prime factors of 49392 and 49404.

Prime Factorization of 49392

Prime Factorization of 49404

Now multiplying the highest exponent prime factors to calculate the LCM of 49392 and 49404.

LCM(49392,49404) = 2⁴ × 3² × 7³ × 23¹ × 179¹
LCM(49392,49404) = 203346864