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What is the Least Common Multiple of 8694 and 8702?

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 8694 and 8702 is 37827594.

LCM(8694,8702) = 37827594

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Least Common Multiple of 8694 and 8702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8694 and 8702, than apply into the LCM equation.

GCF(8694,8702) = 2
LCM(8694,8702) = ( 8694 × 8702) / 2
LCM(8694,8702) = 75655188 / 2
LCM(8694,8702) = 37827594

Least Common Multiple (LCM) of 8694 and 8702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8694 and 8702. First we will calculate the prime factors of 8694 and 8702.

Prime Factorization of 8694

Prime factors of 8694 are 2, 3, 7, 23. Prime factorization of 8694 in exponential form is:

8694 = 21 × 33 × 71 × 231

Prime Factorization of 8702

Prime factors of 8702 are 2, 19, 229. Prime factorization of 8702 in exponential form is:

8702 = 21 × 191 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 8694 and 8702.

LCM(8694,8702) = 21 × 33 × 71 × 231 × 191 × 2291
LCM(8694,8702) = 37827594