What is the Least Common Multiple of 51150 and 51164?

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 51150 and 51164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51150 and 51164, than apply into the LCM equation.

GCF(51150,51164) = 2
LCM(51150,51164) = ( 51150 × 51164) / 2
LCM(51150,51164) = 2617038600 / 2
LCM(51150,51164) = 1308519300

Least Common Multiple (LCM) of 51150 and 51164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51150 and 51164. First we will calculate the prime factors of 51150 and 51164.

Prime Factorization of 51150

Prime Factorization of 51164

Now multiplying the highest exponent prime factors to calculate the LCM of 51150 and 51164.

LCM(51150,51164) = 2² × 3¹ × 5² × 11¹ × 31¹ × 12791¹
LCM(51150,51164) = 1308519300