What is the Least Common Multiple of 51072 and 51086?

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 51072 and 51086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51072 and 51086, than apply into the LCM equation.

GCF(51072,51086) = 14
LCM(51072,51086) = ( 51072 × 51086) / 14
LCM(51072,51086) = 2609064192 / 14
LCM(51072,51086) = 186361728

Least Common Multiple (LCM) of 51072 and 51086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51072 and 51086. First we will calculate the prime factors of 51072 and 51086.

Prime Factorization of 51072

Prime Factorization of 51086

Now multiplying the highest exponent prime factors to calculate the LCM of 51072 and 51086.

LCM(51072,51086) = 2⁷ × 3¹ × 7¹ × 19¹ × 41¹ × 89¹
LCM(51072,51086) = 186361728