What is the Least Common Multiple of 5096 and 5100?

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 5096 and 5100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5096 and 5100, than apply into the LCM equation.

GCF(5096,5100) = 4
LCM(5096,5100) = ( 5096 × 5100) / 4
LCM(5096,5100) = 25989600 / 4
LCM(5096,5100) = 6497400

Least Common Multiple (LCM) of 5096 and 5100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5096 and 5100. First we will calculate the prime factors of 5096 and 5100.

Prime Factorization of 5096

Prime Factorization of 5100

Now multiplying the highest exponent prime factors to calculate the LCM of 5096 and 5100.

LCM(5096,5100) = 2³ × 7² × 13¹ × 3¹ × 5² × 17¹
LCM(5096,5100) = 6497400