What is the Least Common Multiple of 58779 and 58797?

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 58779 and 58797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58779 and 58797, than apply into the LCM equation.

GCF(58779,58797) = 9
LCM(58779,58797) = ( 58779 × 58797) / 9
LCM(58779,58797) = 3456028863 / 9
LCM(58779,58797) = 384003207

Least Common Multiple (LCM) of 58779 and 58797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58779 and 58797. First we will calculate the prime factors of 58779 and 58797.

Prime Factorization of 58779

Prime Factorization of 58797

Now multiplying the highest exponent prime factors to calculate the LCM of 58779 and 58797.

LCM(58779,58797) = 3³ × 7¹ × 311¹ × 47¹ × 139¹
LCM(58779,58797) = 384003207