What is the Least Common Multiple of 6645 and 6665?

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 6645 and 6665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6645 and 6665, than apply into the LCM equation.

GCF(6645,6665) = 5
LCM(6645,6665) = ( 6645 × 6665) / 5
LCM(6645,6665) = 44288925 / 5
LCM(6645,6665) = 8857785

Least Common Multiple (LCM) of 6645 and 6665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6645 and 6665. First we will calculate the prime factors of 6645 and 6665.

Prime Factorization of 6645

Prime Factorization of 6665

Now multiplying the highest exponent prime factors to calculate the LCM of 6645 and 6665.

LCM(6645,6665) = 3¹ × 5¹ × 443¹ × 31¹ × 43¹
LCM(6645,6665) = 8857785