What is the Least Common Multiple of 5114 and 5126?

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 5114 and 5126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5114 and 5126, than apply into the LCM equation.

GCF(5114,5126) = 2
LCM(5114,5126) = ( 5114 × 5126) / 2
LCM(5114,5126) = 26214364 / 2
LCM(5114,5126) = 13107182

Least Common Multiple (LCM) of 5114 and 5126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5114 and 5126. First we will calculate the prime factors of 5114 and 5126.

Prime Factorization of 5114

Prime Factorization of 5126

Now multiplying the highest exponent prime factors to calculate the LCM of 5114 and 5126.

LCM(5114,5126) = 2¹ × 2557¹ × 11¹ × 233¹
LCM(5114,5126) = 13107182