What is the Least Common Multiple of 59124 and 59142?

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 59124 and 59142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59124 and 59142, than apply into the LCM equation.

GCF(59124,59142) = 6
LCM(59124,59142) = ( 59124 × 59142) / 6
LCM(59124,59142) = 3496711608 / 6
LCM(59124,59142) = 582785268

Least Common Multiple (LCM) of 59124 and 59142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59124 and 59142. First we will calculate the prime factors of 59124 and 59142.

Prime Factorization of 59124

Prime Factorization of 59142

Now multiplying the highest exponent prime factors to calculate the LCM of 59124 and 59142.

LCM(59124,59142) = 2² × 3¹ × 13¹ × 379¹ × 9857¹
LCM(59124,59142) = 582785268