What is the Least Common Multiple of 68130 and 68144?

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 68130 and 68144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68130 and 68144, than apply into the LCM equation.

GCF(68130,68144) = 2
LCM(68130,68144) = ( 68130 × 68144) / 2
LCM(68130,68144) = 4642650720 / 2
LCM(68130,68144) = 2321325360

Least Common Multiple (LCM) of 68130 and 68144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68130 and 68144. First we will calculate the prime factors of 68130 and 68144.

Prime Factorization of 68130

Prime Factorization of 68144

Now multiplying the highest exponent prime factors to calculate the LCM of 68130 and 68144.

LCM(68130,68144) = 2⁴ × 3² × 5¹ × 757¹ × 4259¹
LCM(68130,68144) = 2321325360