What is the Least Common Multiple of 58884 and 58899?

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 58884 and 58899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58884 and 58899, than apply into the LCM equation.

GCF(58884,58899) = 3
LCM(58884,58899) = ( 58884 × 58899) / 3
LCM(58884,58899) = 3468208716 / 3
LCM(58884,58899) = 1156069572

Least Common Multiple (LCM) of 58884 and 58899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58884 and 58899. First we will calculate the prime factors of 58884 and 58899.

Prime Factorization of 58884

Prime Factorization of 58899

Now multiplying the highest exponent prime factors to calculate the LCM of 58884 and 58899.

LCM(58884,58899) = 2² × 3¹ × 7¹ × 701¹ × 29¹ × 677¹
LCM(58884,58899) = 1156069572