What is the Least Common Multiple of 58977 and 58981?

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 58977 and 58981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58977 and 58981, than apply into the LCM equation.

GCF(58977,58981) = 1
LCM(58977,58981) = ( 58977 × 58981) / 1
LCM(58977,58981) = 3478522437 / 1
LCM(58977,58981) = 3478522437

Least Common Multiple (LCM) of 58977 and 58981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58977 and 58981. First we will calculate the prime factors of 58977 and 58981.

Prime Factorization of 58977

Prime Factorization of 58981

Now multiplying the highest exponent prime factors to calculate the LCM of 58977 and 58981.

LCM(58977,58981) = 3² × 6553¹ × 13² × 349¹
LCM(58977,58981) = 3478522437