What is the Least Common Multiple of 5088 and 5107?

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 5088 and 5107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5088 and 5107, than apply into the LCM equation.

GCF(5088,5107) = 1
LCM(5088,5107) = ( 5088 × 5107) / 1
LCM(5088,5107) = 25984416 / 1
LCM(5088,5107) = 25984416

Least Common Multiple (LCM) of 5088 and 5107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5088 and 5107. First we will calculate the prime factors of 5088 and 5107.

Prime Factorization of 5088

Prime Factorization of 5107

Now multiplying the highest exponent prime factors to calculate the LCM of 5088 and 5107.

LCM(5088,5107) = 2⁵ × 3¹ × 53¹ × 5107¹
LCM(5088,5107) = 25984416