What is the Least Common Multiple of 50400 and 50416?

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 50416 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 50416, than apply into the LCM equation.

GCF(50400,50416) = 16
LCM(50400,50416) = ( 50400 × 50416) / 16
LCM(50400,50416) = 2540966400 / 16
LCM(50400,50416) = 158810400

Least Common Multiple (LCM) of 50400 and 50416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50400 and 50416. First we will calculate the prime factors of 50400 and 50416.

Prime Factorization of 50400

Prime Factorization of 50416

Now multiplying the highest exponent prime factors to calculate the LCM of 50400 and 50416.

LCM(50400,50416) = 2⁵ × 3² × 5² × 7¹ × 23¹ × 137¹
LCM(50400,50416) = 158810400