What is the Least Common Multiple of 50166 and 50175?

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 50166 and 50175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50166 and 50175, than apply into the LCM equation.

GCF(50166,50175) = 9
LCM(50166,50175) = ( 50166 × 50175) / 9
LCM(50166,50175) = 2517079050 / 9
LCM(50166,50175) = 279675450

Least Common Multiple (LCM) of 50166 and 50175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50166 and 50175. First we will calculate the prime factors of 50166 and 50175.

Prime Factorization of 50166

Prime Factorization of 50175

Now multiplying the highest exponent prime factors to calculate the LCM of 50166 and 50175.

LCM(50166,50175) = 2¹ × 3³ × 929¹ × 5² × 223¹
LCM(50166,50175) = 279675450