What is the Least Common Multiple of 96138 and 96146?

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 96138 and 96146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96138 and 96146, than apply into the LCM equation.

GCF(96138,96146) = 2
LCM(96138,96146) = ( 96138 × 96146) / 2
LCM(96138,96146) = 9243284148 / 2
LCM(96138,96146) = 4621642074

Least Common Multiple (LCM) of 96138 and 96146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96138 and 96146. First we will calculate the prime factors of 96138 and 96146.

Prime Factorization of 96138

Prime Factorization of 96146

Now multiplying the highest exponent prime factors to calculate the LCM of 96138 and 96146.

LCM(96138,96146) = 2¹ × 3² × 7² × 109¹ × 48073¹
LCM(96138,96146) = 4621642074