What is the Least Common Multiple of 50100 and 50105?

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 50105 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 50105, than apply into the LCM equation.

GCF(50100,50105) = 5
LCM(50100,50105) = ( 50100 × 50105) / 5
LCM(50100,50105) = 2510260500 / 5
LCM(50100,50105) = 502052100

Least Common Multiple (LCM) of 50100 and 50105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50100 and 50105. First we will calculate the prime factors of 50100 and 50105.

Prime Factorization of 50100

Prime Factorization of 50105

Now multiplying the highest exponent prime factors to calculate the LCM of 50100 and 50105.

LCM(50100,50105) = 2² × 3¹ × 5² × 167¹ × 11¹ × 911¹
LCM(50100,50105) = 502052100