What is the Least Common Multiple of 50172 and 50190?

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 50190 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 50190, than apply into the LCM equation.

GCF(50172,50190) = 6
LCM(50172,50190) = ( 50172 × 50190) / 6
LCM(50172,50190) = 2518132680 / 6
LCM(50172,50190) = 419688780

Least Common Multiple (LCM) of 50172 and 50190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50172 and 50190. First we will calculate the prime factors of 50172 and 50190.

Prime Factorization of 50172

Prime Factorization of 50190

Now multiplying the highest exponent prime factors to calculate the LCM of 50172 and 50190.

LCM(50172,50190) = 2² × 3¹ × 37¹ × 113¹ × 5¹ × 7¹ × 239¹
LCM(50172,50190) = 419688780