What is the Least Common Multiple of 50112 and 50124?

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 50112 and 50124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50112 and 50124, than apply into the LCM equation.

GCF(50112,50124) = 12
LCM(50112,50124) = ( 50112 × 50124) / 12
LCM(50112,50124) = 2511813888 / 12
LCM(50112,50124) = 209317824

Least Common Multiple (LCM) of 50112 and 50124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50112 and 50124. First we will calculate the prime factors of 50112 and 50124.

Prime Factorization of 50112

Prime Factorization of 50124

Now multiplying the highest exponent prime factors to calculate the LCM of 50112 and 50124.

LCM(50112,50124) = 2⁶ × 3³ × 29¹ × 4177¹
LCM(50112,50124) = 209317824