What is the Least Common Multiple of 6109 and 6126?

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 6109 and 6126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6109 and 6126, than apply into the LCM equation.

GCF(6109,6126) = 1
LCM(6109,6126) = ( 6109 × 6126) / 1
LCM(6109,6126) = 37423734 / 1
LCM(6109,6126) = 37423734

Least Common Multiple (LCM) of 6109 and 6126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6109 and 6126. First we will calculate the prime factors of 6109 and 6126.

Prime Factorization of 6109

Prime Factorization of 6126

Now multiplying the highest exponent prime factors to calculate the LCM of 6109 and 6126.

LCM(6109,6126) = 41¹ × 149¹ × 2¹ × 3¹ × 1021¹
LCM(6109,6126) = 37423734