What is the Least Common Multiple of 58497 and 58501?

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 58497 and 58501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58497 and 58501, than apply into the LCM equation.

GCF(58497,58501) = 1
LCM(58497,58501) = ( 58497 × 58501) / 1
LCM(58497,58501) = 3422132997 / 1
LCM(58497,58501) = 3422132997

Least Common Multiple (LCM) of 58497 and 58501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58497 and 58501. First we will calculate the prime factors of 58497 and 58501.

Prime Factorization of 58497

Prime Factorization of 58501

Now multiplying the highest exponent prime factors to calculate the LCM of 58497 and 58501.

LCM(58497,58501) = 3¹ × 17¹ × 31¹ × 37¹ × 19¹ × 3079¹
LCM(58497,58501) = 3422132997