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What is the Least Common Multiple of 6644 and 6662?

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 (LCM) of 6644 and 6662 is 22131164.

LCM(6644,6662) = 22131164

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Least Common Multiple of 6644 and 6662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6644 and 6662, than apply into the LCM equation.

GCF(6644,6662) = 2
LCM(6644,6662) = ( 6644 × 6662) / 2
LCM(6644,6662) = 44262328 / 2
LCM(6644,6662) = 22131164

Least Common Multiple (LCM) of 6644 and 6662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6644 and 6662. First we will calculate the prime factors of 6644 and 6662.

Prime Factorization of 6644

Prime factors of 6644 are 2, 11, 151. Prime factorization of 6644 in exponential form is:

6644 = 22 × 111 × 1511

Prime Factorization of 6662

Prime factors of 6662 are 2, 3331. Prime factorization of 6662 in exponential form is:

6662 = 21 × 33311

Now multiplying the highest exponent prime factors to calculate the LCM of 6644 and 6662.

LCM(6644,6662) = 22 × 111 × 1511 × 33311
LCM(6644,6662) = 22131164