What is the Least Common Multiple of 58248 and 58257?

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 58248 and 58257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58248 and 58257, than apply into the LCM equation.

GCF(58248,58257) = 9
LCM(58248,58257) = ( 58248 × 58257) / 9
LCM(58248,58257) = 3393353736 / 9
LCM(58248,58257) = 377039304

Least Common Multiple (LCM) of 58248 and 58257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58248 and 58257. First we will calculate the prime factors of 58248 and 58257.

Prime Factorization of 58248

Prime Factorization of 58257

Now multiplying the highest exponent prime factors to calculate the LCM of 58248 and 58257.

LCM(58248,58257) = 2³ × 3² × 809¹ × 6473¹
LCM(58248,58257) = 377039304