What is the Least Common Multiple of 58868 and 58881?

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 58868 and 58881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58868 and 58881, than apply into the LCM equation.

GCF(58868,58881) = 1
LCM(58868,58881) = ( 58868 × 58881) / 1
LCM(58868,58881) = 3466206708 / 1
LCM(58868,58881) = 3466206708

Least Common Multiple (LCM) of 58868 and 58881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58868 and 58881. First we will calculate the prime factors of 58868 and 58881.

Prime Factorization of 58868

Prime Factorization of 58881

Now multiplying the highest exponent prime factors to calculate the LCM of 58868 and 58881.

LCM(58868,58881) = 2² × 14717¹ × 3¹ × 19¹ × 1033¹
LCM(58868,58881) = 3466206708