What is the Least Common Multiple of 58325 and 58341?

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 58325 and 58341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58325 and 58341, than apply into the LCM equation.

GCF(58325,58341) = 1
LCM(58325,58341) = ( 58325 × 58341) / 1
LCM(58325,58341) = 3402738825 / 1
LCM(58325,58341) = 3402738825

Least Common Multiple (LCM) of 58325 and 58341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58325 and 58341. First we will calculate the prime factors of 58325 and 58341.

Prime Factorization of 58325

Prime Factorization of 58341

Now multiplying the highest exponent prime factors to calculate the LCM of 58325 and 58341.

LCM(58325,58341) = 5² × 2333¹ × 3¹ × 19447¹
LCM(58325,58341) = 3402738825