What is the Least Common Multiple of 50130 and 50144?

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 50130 and 50144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50130 and 50144, than apply into the LCM equation.

GCF(50130,50144) = 2
LCM(50130,50144) = ( 50130 × 50144) / 2
LCM(50130,50144) = 2513718720 / 2
LCM(50130,50144) = 1256859360

Least Common Multiple (LCM) of 50130 and 50144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50130 and 50144. First we will calculate the prime factors of 50130 and 50144.

Prime Factorization of 50130

Prime Factorization of 50144

Now multiplying the highest exponent prime factors to calculate the LCM of 50130 and 50144.

LCM(50130,50144) = 2⁵ × 3² × 5¹ × 557¹ × 1567¹
LCM(50130,50144) = 1256859360