What is the Least Common Multiple of 49425 and 49440?

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 49425 and 49440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49425 and 49440, than apply into the LCM equation.

GCF(49425,49440) = 15
LCM(49425,49440) = ( 49425 × 49440) / 15
LCM(49425,49440) = 2443572000 / 15
LCM(49425,49440) = 162904800

Least Common Multiple (LCM) of 49425 and 49440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49425 and 49440. First we will calculate the prime factors of 49425 and 49440.

Prime Factorization of 49425

Prime Factorization of 49440

Now multiplying the highest exponent prime factors to calculate the LCM of 49425 and 49440.

LCM(49425,49440) = 3¹ × 5² × 659¹ × 2⁵ × 103¹
LCM(49425,49440) = 162904800