What is the Least Common Multiple of 51180 and 51190?

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 51180 and 51190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51180 and 51190, than apply into the LCM equation.

GCF(51180,51190) = 10
LCM(51180,51190) = ( 51180 × 51190) / 10
LCM(51180,51190) = 2619904200 / 10
LCM(51180,51190) = 261990420

Least Common Multiple (LCM) of 51180 and 51190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51180 and 51190. First we will calculate the prime factors of 51180 and 51190.

Prime Factorization of 51180

Prime Factorization of 51190

Now multiplying the highest exponent prime factors to calculate the LCM of 51180 and 51190.

LCM(51180,51190) = 2² × 3¹ × 5¹ × 853¹ × 5119¹
LCM(51180,51190) = 261990420