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What is the Least Common Multiple of 27643 and 27659?

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 27643 and 27659 is 764577737.

LCM(27643,27659) = 764577737

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Least Common Multiple of 27643 and 27659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27643 and 27659, than apply into the LCM equation.

GCF(27643,27659) = 1
LCM(27643,27659) = ( 27643 × 27659) / 1
LCM(27643,27659) = 764577737 / 1
LCM(27643,27659) = 764577737

Least Common Multiple (LCM) of 27643 and 27659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27643 and 27659. First we will calculate the prime factors of 27643 and 27659.

Prime Factorization of 27643

Prime factors of 27643 are 7, 11, 359. Prime factorization of 27643 in exponential form is:

27643 = 71 × 111 × 3591

Prime Factorization of 27659

Prime factors of 27659 are 17, 1627. Prime factorization of 27659 in exponential form is:

27659 = 171 × 16271

Now multiplying the highest exponent prime factors to calculate the LCM of 27643 and 27659.

LCM(27643,27659) = 71 × 111 × 3591 × 171 × 16271
LCM(27643,27659) = 764577737