What is the Least Common Multiple of 51080 and 51099?

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 51080 and 51099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51080 and 51099, than apply into the LCM equation.

GCF(51080,51099) = 1
LCM(51080,51099) = ( 51080 × 51099) / 1
LCM(51080,51099) = 2610136920 / 1
LCM(51080,51099) = 2610136920

Least Common Multiple (LCM) of 51080 and 51099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51080 and 51099. First we will calculate the prime factors of 51080 and 51099.

Prime Factorization of 51080

Prime Factorization of 51099

Now multiplying the highest exponent prime factors to calculate the LCM of 51080 and 51099.

LCM(51080,51099) = 2³ × 5¹ × 1277¹ × 3¹ × 17033¹
LCM(51080,51099) = 2610136920