What is the Least Common Multiple of 58278 and 58289?

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 58278 and 58289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58278 and 58289, than apply into the LCM equation.

GCF(58278,58289) = 11
LCM(58278,58289) = ( 58278 × 58289) / 11
LCM(58278,58289) = 3396966342 / 11
LCM(58278,58289) = 308815122

Least Common Multiple (LCM) of 58278 and 58289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58278 and 58289. First we will calculate the prime factors of 58278 and 58289.

Prime Factorization of 58278

Prime Factorization of 58289

Now multiplying the highest exponent prime factors to calculate the LCM of 58278 and 58289.

LCM(58278,58289) = 2¹ × 3¹ × 11¹ × 883¹ × 7¹ × 757¹
LCM(58278,58289) = 308815122