What is the Least Common Multiple of 6690 and 6696?

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 6690 and 6696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6690 and 6696, than apply into the LCM equation.

GCF(6690,6696) = 6
LCM(6690,6696) = ( 6690 × 6696) / 6
LCM(6690,6696) = 44796240 / 6
LCM(6690,6696) = 7466040

Least Common Multiple (LCM) of 6690 and 6696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6690 and 6696. First we will calculate the prime factors of 6690 and 6696.

Prime Factorization of 6690

Prime Factorization of 6696

Now multiplying the highest exponent prime factors to calculate the LCM of 6690 and 6696.

LCM(6690,6696) = 2³ × 3³ × 5¹ × 223¹ × 31¹
LCM(6690,6696) = 7466040