What is the Least Common Multiple of 50400 and 50404?

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 50400 and 50404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50400 and 50404, than apply into the LCM equation.

GCF(50400,50404) = 4
LCM(50400,50404) = ( 50400 × 50404) / 4
LCM(50400,50404) = 2540361600 / 4
LCM(50400,50404) = 635090400

Least Common Multiple (LCM) of 50400 and 50404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50400 and 50404. First we will calculate the prime factors of 50400 and 50404.

Prime Factorization of 50400

Prime Factorization of 50404

Now multiplying the highest exponent prime factors to calculate the LCM of 50400 and 50404.

LCM(50400,50404) = 2⁵ × 3² × 5² × 7¹ × 12601¹
LCM(50400,50404) = 635090400