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What is the Least Common Multiple of 6643 and 6661?

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 6643 and 6661 is 44249023.

LCM(6643,6661) = 44249023

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Least Common Multiple of 6643 and 6661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6643 and 6661, than apply into the LCM equation.

GCF(6643,6661) = 1
LCM(6643,6661) = ( 6643 × 6661) / 1
LCM(6643,6661) = 44249023 / 1
LCM(6643,6661) = 44249023

Least Common Multiple (LCM) of 6643 and 6661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6643 and 6661. First we will calculate the prime factors of 6643 and 6661.

Prime Factorization of 6643

Prime factors of 6643 are 7, 13, 73. Prime factorization of 6643 in exponential form is:

6643 = 71 × 131 × 731

Prime Factorization of 6661

Prime factors of 6661 are 6661. Prime factorization of 6661 in exponential form is:

6661 = 66611

Now multiplying the highest exponent prime factors to calculate the LCM of 6643 and 6661.

LCM(6643,6661) = 71 × 131 × 731 × 66611
LCM(6643,6661) = 44249023