What is the Least Common Multiple of 50394 and 50400?

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 50394 and 50400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50394 and 50400, than apply into the LCM equation.

GCF(50394,50400) = 6
LCM(50394,50400) = ( 50394 × 50400) / 6
LCM(50394,50400) = 2539857600 / 6
LCM(50394,50400) = 423309600

Least Common Multiple (LCM) of 50394 and 50400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50394 and 50400. First we will calculate the prime factors of 50394 and 50400.

Prime Factorization of 50394

Prime Factorization of 50400

Now multiplying the highest exponent prime factors to calculate the LCM of 50394 and 50400.

LCM(50394,50400) = 2⁵ × 3² × 37¹ × 227¹ × 5² × 7¹
LCM(50394,50400) = 423309600