What is the Least Common Multiple of 5074 and 5088?

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 5074 and 5088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5074 and 5088, than apply into the LCM equation.

GCF(5074,5088) = 2
LCM(5074,5088) = ( 5074 × 5088) / 2
LCM(5074,5088) = 25816512 / 2
LCM(5074,5088) = 12908256

Least Common Multiple (LCM) of 5074 and 5088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5074 and 5088. First we will calculate the prime factors of 5074 and 5088.

Prime Factorization of 5074

Prime Factorization of 5088

Now multiplying the highest exponent prime factors to calculate the LCM of 5074 and 5088.

LCM(5074,5088) = 2⁵ × 43¹ × 59¹ × 3¹ × 53¹
LCM(5074,5088) = 12908256