What is the Least Common Multiple of 34132 and 34146?

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 34132 and 34146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34132 and 34146, than apply into the LCM equation.

GCF(34132,34146) = 14
LCM(34132,34146) = ( 34132 × 34146) / 14
LCM(34132,34146) = 1165471272 / 14
LCM(34132,34146) = 83247948

Least Common Multiple (LCM) of 34132 and 34146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34132 and 34146. First we will calculate the prime factors of 34132 and 34146.

Prime Factorization of 34132

Prime Factorization of 34146

Now multiplying the highest exponent prime factors to calculate the LCM of 34132 and 34146.

LCM(34132,34146) = 2² × 7¹ × 23¹ × 53¹ × 3² × 271¹
LCM(34132,34146) = 83247948