What is the Least Common Multiple of 8123 and 8142?

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 8123 and 8142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8123 and 8142, than apply into the LCM equation.

GCF(8123,8142) = 1
LCM(8123,8142) = ( 8123 × 8142) / 1
LCM(8123,8142) = 66137466 / 1
LCM(8123,8142) = 66137466

Least Common Multiple (LCM) of 8123 and 8142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8123 and 8142. First we will calculate the prime factors of 8123 and 8142.

Prime Factorization of 8123

Prime Factorization of 8142

Now multiplying the highest exponent prime factors to calculate the LCM of 8123 and 8142.

LCM(8123,8142) = 8123¹ × 2¹ × 3¹ × 23¹ × 59¹
LCM(8123,8142) = 66137466