What is the Least Common Multiple of 6132 and 6146?

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 6132 and 6146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6132 and 6146, than apply into the LCM equation.

GCF(6132,6146) = 14
LCM(6132,6146) = ( 6132 × 6146) / 14
LCM(6132,6146) = 37687272 / 14
LCM(6132,6146) = 2691948

Least Common Multiple (LCM) of 6132 and 6146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6132 and 6146. First we will calculate the prime factors of 6132 and 6146.

Prime Factorization of 6132

Prime Factorization of 6146

Now multiplying the highest exponent prime factors to calculate the LCM of 6132 and 6146.

LCM(6132,6146) = 2² × 3¹ × 7¹ × 73¹ × 439¹
LCM(6132,6146) = 2691948