What is the Least Common Multiple of 58239 and 58248?

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 58239 and 58248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58239 and 58248, than apply into the LCM equation.

GCF(58239,58248) = 9
LCM(58239,58248) = ( 58239 × 58248) / 9
LCM(58239,58248) = 3392305272 / 9
LCM(58239,58248) = 376922808

Least Common Multiple (LCM) of 58239 and 58248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58239 and 58248. First we will calculate the prime factors of 58239 and 58248.

Prime Factorization of 58239

Prime Factorization of 58248

Now multiplying the highest exponent prime factors to calculate the LCM of 58239 and 58248.

LCM(58239,58248) = 3⁴ × 719¹ × 2³ × 809¹
LCM(58239,58248) = 376922808