What is the Least Common Multiple of 58503 and 58518?

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 58503 and 58518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58503 and 58518, than apply into the LCM equation.

GCF(58503,58518) = 3
LCM(58503,58518) = ( 58503 × 58518) / 3
LCM(58503,58518) = 3423478554 / 3
LCM(58503,58518) = 1141159518

Least Common Multiple (LCM) of 58503 and 58518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58503 and 58518. First we will calculate the prime factors of 58503 and 58518.

Prime Factorization of 58503

Prime Factorization of 58518

Now multiplying the highest exponent prime factors to calculate the LCM of 58503 and 58518.

LCM(58503,58518) = 3² × 19501¹ × 2¹ × 3251¹
LCM(58503,58518) = 1141159518