What is the Least Common Multiple of 58645 and 58665?

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 58645 and 58665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58645 and 58665, than apply into the LCM equation.

GCF(58645,58665) = 5
LCM(58645,58665) = ( 58645 × 58665) / 5
LCM(58645,58665) = 3440408925 / 5
LCM(58645,58665) = 688081785

Least Common Multiple (LCM) of 58645 and 58665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58645 and 58665. First we will calculate the prime factors of 58645 and 58665.

Prime Factorization of 58645

Prime Factorization of 58665

Now multiplying the highest exponent prime factors to calculate the LCM of 58645 and 58665.

LCM(58645,58665) = 5¹ × 37¹ × 317¹ × 3¹ × 3911¹
LCM(58645,58665) = 688081785