What is the Least Common Multiple of 51189 and 51195?

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 51189 and 51195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51189 and 51195, than apply into the LCM equation.

GCF(51189,51195) = 3
LCM(51189,51195) = ( 51189 × 51195) / 3
LCM(51189,51195) = 2620620855 / 3
LCM(51189,51195) = 873540285

Least Common Multiple (LCM) of 51189 and 51195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51189 and 51195. First we will calculate the prime factors of 51189 and 51195.

Prime Factorization of 51189

Prime Factorization of 51195

Now multiplying the highest exponent prime factors to calculate the LCM of 51189 and 51195.

LCM(51189,51195) = 3¹ × 113¹ × 151¹ × 5¹ × 3413¹
LCM(51189,51195) = 873540285