What is the Least Common Multiple of 58224 and 58239?

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 58224 and 58239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58224 and 58239, than apply into the LCM equation.

GCF(58224,58239) = 3
LCM(58224,58239) = ( 58224 × 58239) / 3
LCM(58224,58239) = 3390907536 / 3
LCM(58224,58239) = 1130302512

Least Common Multiple (LCM) of 58224 and 58239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58224 and 58239. First we will calculate the prime factors of 58224 and 58239.

Prime Factorization of 58224

Prime Factorization of 58239

Now multiplying the highest exponent prime factors to calculate the LCM of 58224 and 58239.

LCM(58224,58239) = 2⁴ × 3⁴ × 1213¹ × 719¹
LCM(58224,58239) = 1130302512