What is the Least Common Multiple of 6693 and 6699?

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 6693 and 6699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6693 and 6699, than apply into the LCM equation.

GCF(6693,6699) = 3
LCM(6693,6699) = ( 6693 × 6699) / 3
LCM(6693,6699) = 44836407 / 3
LCM(6693,6699) = 14945469

Least Common Multiple (LCM) of 6693 and 6699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6693 and 6699. First we will calculate the prime factors of 6693 and 6699.

Prime Factorization of 6693

Prime Factorization of 6699

Now multiplying the highest exponent prime factors to calculate the LCM of 6693 and 6699.

LCM(6693,6699) = 3¹ × 23¹ × 97¹ × 7¹ × 11¹ × 29¹
LCM(6693,6699) = 14945469