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What is the Least Common Multiple of 8643 and 8654?

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 8643 and 8654 is 74796522.

LCM(8643,8654) = 74796522

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Least Common Multiple of 8643 and 8654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8643 and 8654, than apply into the LCM equation.

GCF(8643,8654) = 1
LCM(8643,8654) = ( 8643 × 8654) / 1
LCM(8643,8654) = 74796522 / 1
LCM(8643,8654) = 74796522

Least Common Multiple (LCM) of 8643 and 8654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8643 and 8654. First we will calculate the prime factors of 8643 and 8654.

Prime Factorization of 8643

Prime factors of 8643 are 3, 43, 67. Prime factorization of 8643 in exponential form is:

8643 = 31 × 431 × 671

Prime Factorization of 8654

Prime factors of 8654 are 2, 4327. Prime factorization of 8654 in exponential form is:

8654 = 21 × 43271

Now multiplying the highest exponent prime factors to calculate the LCM of 8643 and 8654.

LCM(8643,8654) = 31 × 431 × 671 × 21 × 43271
LCM(8643,8654) = 74796522