What is the Least Common Multiple of 50160 and 50174?

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 50160 and 50174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50160 and 50174, than apply into the LCM equation.

GCF(50160,50174) = 2
LCM(50160,50174) = ( 50160 × 50174) / 2
LCM(50160,50174) = 2516727840 / 2
LCM(50160,50174) = 1258363920

Least Common Multiple (LCM) of 50160 and 50174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50160 and 50174. First we will calculate the prime factors of 50160 and 50174.

Prime Factorization of 50160

Prime Factorization of 50174

Now multiplying the highest exponent prime factors to calculate the LCM of 50160 and 50174.

LCM(50160,50174) = 2⁴ × 3¹ × 5¹ × 11¹ × 19¹ × 25087¹
LCM(50160,50174) = 1258363920