What is the Least Common Multiple of 58248 and 58254?

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 58254 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 58254, than apply into the LCM equation.

GCF(58248,58254) = 6
LCM(58248,58254) = ( 58248 × 58254) / 6
LCM(58248,58254) = 3393178992 / 6
LCM(58248,58254) = 565529832

Least Common Multiple (LCM) of 58248 and 58254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58248 and 58254. First we will calculate the prime factors of 58248 and 58254.

Prime Factorization of 58248

Prime Factorization of 58254

Now multiplying the highest exponent prime factors to calculate the LCM of 58248 and 58254.

LCM(58248,58254) = 2³ × 3² × 809¹ × 7¹ × 19¹ × 73¹
LCM(58248,58254) = 565529832