What is the Least Common Multiple of 58869 and 58889?

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 58869 and 58889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58869 and 58889, than apply into the LCM equation.

GCF(58869,58889) = 1
LCM(58869,58889) = ( 58869 × 58889) / 1
LCM(58869,58889) = 3466736541 / 1
LCM(58869,58889) = 3466736541

Least Common Multiple (LCM) of 58869 and 58889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58869 and 58889. First we will calculate the prime factors of 58869 and 58889.

Prime Factorization of 58869

Prime Factorization of 58889

Now multiplying the highest exponent prime factors to calculate the LCM of 58869 and 58889.

LCM(58869,58889) = 3² × 31¹ × 211¹ × 58889¹
LCM(58869,58889) = 3466736541