What is the Least Common Multiple of 58249 and 58264?

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 58249 and 58264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58249 and 58264, than apply into the LCM equation.

GCF(58249,58264) = 1
LCM(58249,58264) = ( 58249 × 58264) / 1
LCM(58249,58264) = 3393819736 / 1
LCM(58249,58264) = 3393819736

Least Common Multiple (LCM) of 58249 and 58264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58249 and 58264. First we will calculate the prime factors of 58249 and 58264.

Prime Factorization of 58249

Prime Factorization of 58264

Now multiplying the highest exponent prime factors to calculate the LCM of 58249 and 58264.

LCM(58249,58264) = 31¹ × 1879¹ × 2³ × 7283¹
LCM(58249,58264) = 3393819736