What is the Least Common Multiple of 50120 and 50140?

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 50120 and 50140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50120 and 50140, than apply into the LCM equation.

GCF(50120,50140) = 20
LCM(50120,50140) = ( 50120 × 50140) / 20
LCM(50120,50140) = 2513016800 / 20
LCM(50120,50140) = 125650840

Least Common Multiple (LCM) of 50120 and 50140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50120 and 50140. First we will calculate the prime factors of 50120 and 50140.

Prime Factorization of 50120

Prime Factorization of 50140

Now multiplying the highest exponent prime factors to calculate the LCM of 50120 and 50140.

LCM(50120,50140) = 2³ × 5¹ × 7¹ × 179¹ × 23¹ × 109¹
LCM(50120,50140) = 125650840