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What is the Least Common Multiple of 6633 and 6647?

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 6633 and 6647 is 44089551.

LCM(6633,6647) = 44089551

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Least Common Multiple of 6633 and 6647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6633 and 6647, than apply into the LCM equation.

GCF(6633,6647) = 1
LCM(6633,6647) = ( 6633 × 6647) / 1
LCM(6633,6647) = 44089551 / 1
LCM(6633,6647) = 44089551

Least Common Multiple (LCM) of 6633 and 6647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6633 and 6647. First we will calculate the prime factors of 6633 and 6647.

Prime Factorization of 6633

Prime factors of 6633 are 3, 11, 67. Prime factorization of 6633 in exponential form is:

6633 = 32 × 111 × 671

Prime Factorization of 6647

Prime factors of 6647 are 17, 23. Prime factorization of 6647 in exponential form is:

6647 = 172 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 6633 and 6647.

LCM(6633,6647) = 32 × 111 × 671 × 172 × 231
LCM(6633,6647) = 44089551