What is the Least Common Multiple of 49992 and 50008?

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 49992 and 50008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49992 and 50008, than apply into the LCM equation.

GCF(49992,50008) = 8
LCM(49992,50008) = ( 49992 × 50008) / 8
LCM(49992,50008) = 2499999936 / 8
LCM(49992,50008) = 312499992

Least Common Multiple (LCM) of 49992 and 50008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49992 and 50008. First we will calculate the prime factors of 49992 and 50008.

Prime Factorization of 49992

Prime Factorization of 50008

Now multiplying the highest exponent prime factors to calculate the LCM of 49992 and 50008.

LCM(49992,50008) = 2³ × 3¹ × 2083¹ × 7¹ × 19¹ × 47¹
LCM(49992,50008) = 312499992