What is the Least Common Multiple of 49404 and 49414?

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 49404 and 49414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49404 and 49414, than apply into the LCM equation.

GCF(49404,49414) = 2
LCM(49404,49414) = ( 49404 × 49414) / 2
LCM(49404,49414) = 2441249256 / 2
LCM(49404,49414) = 1220624628

Least Common Multiple (LCM) of 49404 and 49414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49404 and 49414. First we will calculate the prime factors of 49404 and 49414.

Prime Factorization of 49404

Prime Factorization of 49414

Now multiplying the highest exponent prime factors to calculate the LCM of 49404 and 49414.

LCM(49404,49414) = 2² × 3¹ × 23¹ × 179¹ × 31¹ × 797¹
LCM(49404,49414) = 1220624628