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What is the Least Common Multiple of 8678 and 8697?

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 8678 and 8697 is 75472566.

LCM(8678,8697) = 75472566

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Least Common Multiple of 8678 and 8697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8678 and 8697, than apply into the LCM equation.

GCF(8678,8697) = 1
LCM(8678,8697) = ( 8678 × 8697) / 1
LCM(8678,8697) = 75472566 / 1
LCM(8678,8697) = 75472566

Least Common Multiple (LCM) of 8678 and 8697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8678 and 8697. First we will calculate the prime factors of 8678 and 8697.

Prime Factorization of 8678

Prime factors of 8678 are 2, 4339. Prime factorization of 8678 in exponential form is:

8678 = 21 × 43391

Prime Factorization of 8697

Prime factors of 8697 are 3, 13, 223. Prime factorization of 8697 in exponential form is:

8697 = 31 × 131 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 8678 and 8697.

LCM(8678,8697) = 21 × 43391 × 31 × 131 × 2231
LCM(8678,8697) = 75472566