What is the Least Common Multiple of 50160 and 50172?

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 50172 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 50172, than apply into the LCM equation.

GCF(50160,50172) = 12
LCM(50160,50172) = ( 50160 × 50172) / 12
LCM(50160,50172) = 2516627520 / 12
LCM(50160,50172) = 209718960

Least Common Multiple (LCM) of 50160 and 50172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50160 and 50172. First we will calculate the prime factors of 50160 and 50172.

Prime Factorization of 50160

Prime Factorization of 50172

Now multiplying the highest exponent prime factors to calculate the LCM of 50160 and 50172.

LCM(50160,50172) = 2⁴ × 3¹ × 5¹ × 11¹ × 19¹ × 37¹ × 113¹
LCM(50160,50172) = 209718960