What is the Least Common Multiple of 50144 and 50158?

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 50144 and 50158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50144 and 50158, than apply into the LCM equation.

GCF(50144,50158) = 2
LCM(50144,50158) = ( 50144 × 50158) / 2
LCM(50144,50158) = 2515122752 / 2
LCM(50144,50158) = 1257561376

Least Common Multiple (LCM) of 50144 and 50158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50144 and 50158. First we will calculate the prime factors of 50144 and 50158.

Prime Factorization of 50144

Prime Factorization of 50158

Now multiplying the highest exponent prime factors to calculate the LCM of 50144 and 50158.

LCM(50144,50158) = 2⁵ × 1567¹ × 31¹ × 809¹
LCM(50144,50158) = 1257561376