What is the Least Common Multiple of 58640 and 58645?

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 58640 and 58645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58640 and 58645, than apply into the LCM equation.

GCF(58640,58645) = 5
LCM(58640,58645) = ( 58640 × 58645) / 5
LCM(58640,58645) = 3438942800 / 5
LCM(58640,58645) = 687788560

Least Common Multiple (LCM) of 58640 and 58645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58640 and 58645. First we will calculate the prime factors of 58640 and 58645.

Prime Factorization of 58640

Prime Factorization of 58645

Now multiplying the highest exponent prime factors to calculate the LCM of 58640 and 58645.

LCM(58640,58645) = 2⁴ × 5¹ × 733¹ × 37¹ × 317¹
LCM(58640,58645) = 687788560