What is the Least Common Multiple of 6640 and 6645?

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 6640 and 6645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6640 and 6645, than apply into the LCM equation.

GCF(6640,6645) = 5
LCM(6640,6645) = ( 6640 × 6645) / 5
LCM(6640,6645) = 44122800 / 5
LCM(6640,6645) = 8824560

Least Common Multiple (LCM) of 6640 and 6645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6640 and 6645. First we will calculate the prime factors of 6640 and 6645.

Prime Factorization of 6640

Prime Factorization of 6645

Now multiplying the highest exponent prime factors to calculate the LCM of 6640 and 6645.

LCM(6640,6645) = 2⁴ × 5¹ × 83¹ × 3¹ × 443¹
LCM(6640,6645) = 8824560