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What is the Least Common Multiple of 6567 and 6579?

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 6567 and 6579 is 14401431.

LCM(6567,6579) = 14401431

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Least Common Multiple of 6567 and 6579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6567 and 6579, than apply into the LCM equation.

GCF(6567,6579) = 3
LCM(6567,6579) = ( 6567 × 6579) / 3
LCM(6567,6579) = 43204293 / 3
LCM(6567,6579) = 14401431

Least Common Multiple (LCM) of 6567 and 6579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6567 and 6579. First we will calculate the prime factors of 6567 and 6579.

Prime Factorization of 6567

Prime factors of 6567 are 3, 11, 199. Prime factorization of 6567 in exponential form is:

6567 = 31 × 111 × 1991

Prime Factorization of 6579

Prime factors of 6579 are 3, 17, 43. Prime factorization of 6579 in exponential form is:

6579 = 32 × 171 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 6567 and 6579.

LCM(6567,6579) = 32 × 111 × 1991 × 171 × 431
LCM(6567,6579) = 14401431