What is the Least Common Multiple of 50172 and 50189?

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 50172 and 50189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50172 and 50189, than apply into the LCM equation.

GCF(50172,50189) = 1
LCM(50172,50189) = ( 50172 × 50189) / 1
LCM(50172,50189) = 2518082508 / 1
LCM(50172,50189) = 2518082508

Least Common Multiple (LCM) of 50172 and 50189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50172 and 50189. First we will calculate the prime factors of 50172 and 50189.

Prime Factorization of 50172

Prime Factorization of 50189

Now multiplying the highest exponent prime factors to calculate the LCM of 50172 and 50189.

LCM(50172,50189) = 2² × 3¹ × 37¹ × 113¹ × 31¹ × 1619¹
LCM(50172,50189) = 2518082508