What is the Least Common Multiple of 5126 and 5142?

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 5126 and 5142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5126 and 5142, than apply into the LCM equation.

GCF(5126,5142) = 2
LCM(5126,5142) = ( 5126 × 5142) / 2
LCM(5126,5142) = 26357892 / 2
LCM(5126,5142) = 13178946

Least Common Multiple (LCM) of 5126 and 5142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5126 and 5142. First we will calculate the prime factors of 5126 and 5142.

Prime Factorization of 5126

Prime Factorization of 5142

Now multiplying the highest exponent prime factors to calculate the LCM of 5126 and 5142.

LCM(5126,5142) = 2¹ × 11¹ × 233¹ × 3¹ × 857¹
LCM(5126,5142) = 13178946