What is the Least Common Multiple of 50100 and 50120?

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 50100 and 50120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50100 and 50120, than apply into the LCM equation.

GCF(50100,50120) = 20
LCM(50100,50120) = ( 50100 × 50120) / 20
LCM(50100,50120) = 2511012000 / 20
LCM(50100,50120) = 125550600

Least Common Multiple (LCM) of 50100 and 50120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50100 and 50120. First we will calculate the prime factors of 50100 and 50120.

Prime Factorization of 50100

Prime Factorization of 50120

Now multiplying the highest exponent prime factors to calculate the LCM of 50100 and 50120.

LCM(50100,50120) = 2³ × 3¹ × 5² × 167¹ × 7¹ × 179¹
LCM(50100,50120) = 125550600