What is the Least Common Multiple of 52108 and 52126?

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 52108 and 52126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52108 and 52126, than apply into the LCM equation.

GCF(52108,52126) = 2
LCM(52108,52126) = ( 52108 × 52126) / 2
LCM(52108,52126) = 2716181608 / 2
LCM(52108,52126) = 1358090804

Least Common Multiple (LCM) of 52108 and 52126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52108 and 52126. First we will calculate the prime factors of 52108 and 52126.

Prime Factorization of 52108

Prime Factorization of 52126

Now multiplying the highest exponent prime factors to calculate the LCM of 52108 and 52126.

LCM(52108,52126) = 2² × 7¹ × 1861¹ × 67¹ × 389¹
LCM(52108,52126) = 1358090804