What is the Least Common Multiple of 50112 and 50119?

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 50119 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 50119, than apply into the LCM equation.

GCF(50112,50119) = 1
LCM(50112,50119) = ( 50112 × 50119) / 1
LCM(50112,50119) = 2511563328 / 1
LCM(50112,50119) = 2511563328

Least Common Multiple (LCM) of 50112 and 50119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50112 and 50119. First we will calculate the prime factors of 50112 and 50119.

Prime Factorization of 50112

Prime Factorization of 50119

Now multiplying the highest exponent prime factors to calculate the LCM of 50112 and 50119.

LCM(50112,50119) = 2⁶ × 3³ × 29¹ × 50119¹
LCM(50112,50119) = 2511563328