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What is the Least Common Multiple of 8653 and 8667?

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 8653 and 8667 is 74995551.

LCM(8653,8667) = 74995551

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Least Common Multiple of 8653 and 8667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8653 and 8667, than apply into the LCM equation.

GCF(8653,8667) = 1
LCM(8653,8667) = ( 8653 × 8667) / 1
LCM(8653,8667) = 74995551 / 1
LCM(8653,8667) = 74995551

Least Common Multiple (LCM) of 8653 and 8667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8653 and 8667. First we will calculate the prime factors of 8653 and 8667.

Prime Factorization of 8653

Prime factors of 8653 are 17, 509. Prime factorization of 8653 in exponential form is:

8653 = 171 × 5091

Prime Factorization of 8667

Prime factors of 8667 are 3, 107. Prime factorization of 8667 in exponential form is:

8667 = 34 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 8653 and 8667.

LCM(8653,8667) = 171 × 5091 × 34 × 1071
LCM(8653,8667) = 74995551