What is the Least Common Multiple of 58494 and 58504?

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 58494 and 58504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58494 and 58504, than apply into the LCM equation.

GCF(58494,58504) = 2
LCM(58494,58504) = ( 58494 × 58504) / 2
LCM(58494,58504) = 3422132976 / 2
LCM(58494,58504) = 1711066488

Least Common Multiple (LCM) of 58494 and 58504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58494 and 58504. First we will calculate the prime factors of 58494 and 58504.

Prime Factorization of 58494

Prime Factorization of 58504

Now multiplying the highest exponent prime factors to calculate the LCM of 58494 and 58504.

LCM(58494,58504) = 2³ × 3¹ × 9749¹ × 71¹ × 103¹
LCM(58494,58504) = 1711066488