What is the Least Common Multiple of 58782 and 58794?

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 58782 and 58794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58782 and 58794, than apply into the LCM equation.

GCF(58782,58794) = 6
LCM(58782,58794) = ( 58782 × 58794) / 6
LCM(58782,58794) = 3456028908 / 6
LCM(58782,58794) = 576004818

Least Common Multiple (LCM) of 58782 and 58794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58782 and 58794. First we will calculate the prime factors of 58782 and 58794.

Prime Factorization of 58782

Prime Factorization of 58794

Now multiplying the highest exponent prime factors to calculate the LCM of 58782 and 58794.

LCM(58782,58794) = 2¹ × 3¹ × 97¹ × 101¹ × 41¹ × 239¹
LCM(58782,58794) = 576004818