What is the Least Common Multiple of 58524 and 58541?

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 58524 and 58541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58524 and 58541, than apply into the LCM equation.

GCF(58524,58541) = 1
LCM(58524,58541) = ( 58524 × 58541) / 1
LCM(58524,58541) = 3426053484 / 1
LCM(58524,58541) = 3426053484

Least Common Multiple (LCM) of 58524 and 58541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58524 and 58541. First we will calculate the prime factors of 58524 and 58541.

Prime Factorization of 58524

Prime Factorization of 58541

Now multiplying the highest exponent prime factors to calculate the LCM of 58524 and 58541.

LCM(58524,58541) = 2² × 3¹ × 4877¹ × 7¹ × 8363¹
LCM(58524,58541) = 3426053484