What is the Least Common Multiple of 6650 and 6668?

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 6650 and 6668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6650 and 6668, than apply into the LCM equation.

GCF(6650,6668) = 2
LCM(6650,6668) = ( 6650 × 6668) / 2
LCM(6650,6668) = 44342200 / 2
LCM(6650,6668) = 22171100

Least Common Multiple (LCM) of 6650 and 6668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6650 and 6668. First we will calculate the prime factors of 6650 and 6668.

Prime Factorization of 6650

Prime Factorization of 6668

Now multiplying the highest exponent prime factors to calculate the LCM of 6650 and 6668.

LCM(6650,6668) = 2² × 5² × 7¹ × 19¹ × 1667¹
LCM(6650,6668) = 22171100