What is the Least Common Multiple of 58533 and 58542?

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 58533 and 58542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58533 and 58542, than apply into the LCM equation.

GCF(58533,58542) = 3
LCM(58533,58542) = ( 58533 × 58542) / 3
LCM(58533,58542) = 3426638886 / 3
LCM(58533,58542) = 1142212962

Least Common Multiple (LCM) of 58533 and 58542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58533 and 58542. First we will calculate the prime factors of 58533 and 58542.

Prime Factorization of 58533

Prime Factorization of 58542

Now multiplying the highest exponent prime factors to calculate the LCM of 58533 and 58542.

LCM(58533,58542) = 3¹ × 109¹ × 179¹ × 2¹ × 11¹ × 887¹
LCM(58533,58542) = 1142212962