What is the Least Common Multiple of 58542 and 58553?

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 58542 and 58553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58542 and 58553, than apply into the LCM equation.

GCF(58542,58553) = 11
LCM(58542,58553) = ( 58542 × 58553) / 11
LCM(58542,58553) = 3427809726 / 11
LCM(58542,58553) = 311619066

Least Common Multiple (LCM) of 58542 and 58553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58542 and 58553. First we will calculate the prime factors of 58542 and 58553.

Prime Factorization of 58542

Prime Factorization of 58553

Now multiplying the highest exponent prime factors to calculate the LCM of 58542 and 58553.

LCM(58542,58553) = 2¹ × 3¹ × 11¹ × 887¹ × 5323¹
LCM(58542,58553) = 311619066