What is the Least Common Multiple of 5116 and 5134?

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 5116 and 5134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5116 and 5134, than apply into the LCM equation.

GCF(5116,5134) = 2
LCM(5116,5134) = ( 5116 × 5134) / 2
LCM(5116,5134) = 26265544 / 2
LCM(5116,5134) = 13132772

Least Common Multiple (LCM) of 5116 and 5134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5116 and 5134. First we will calculate the prime factors of 5116 and 5134.

Prime Factorization of 5116

Prime Factorization of 5134

Now multiplying the highest exponent prime factors to calculate the LCM of 5116 and 5134.

LCM(5116,5134) = 2² × 1279¹ × 17¹ × 151¹
LCM(5116,5134) = 13132772