What is the Least Common Multiple of 8142 and 8146?

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 8142 and 8146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8142 and 8146, than apply into the LCM equation.

GCF(8142,8146) = 2
LCM(8142,8146) = ( 8142 × 8146) / 2
LCM(8142,8146) = 66324732 / 2
LCM(8142,8146) = 33162366

Least Common Multiple (LCM) of 8142 and 8146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8142 and 8146. First we will calculate the prime factors of 8142 and 8146.

Prime Factorization of 8142

Prime Factorization of 8146

Now multiplying the highest exponent prime factors to calculate the LCM of 8142 and 8146.

LCM(8142,8146) = 2¹ × 3¹ × 23¹ × 59¹ × 4073¹
LCM(8142,8146) = 33162366