What is the Least Common Multiple of 6600 and 6614?

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 6600 and 6614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6600 and 6614, than apply into the LCM equation.

GCF(6600,6614) = 2
LCM(6600,6614) = ( 6600 × 6614) / 2
LCM(6600,6614) = 43652400 / 2
LCM(6600,6614) = 21826200

Least Common Multiple (LCM) of 6600 and 6614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6600 and 6614. First we will calculate the prime factors of 6600 and 6614.

Prime Factorization of 6600

Prime Factorization of 6614

Now multiplying the highest exponent prime factors to calculate the LCM of 6600 and 6614.

LCM(6600,6614) = 2³ × 3¹ × 5² × 11¹ × 3307¹
LCM(6600,6614) = 21826200