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What is the Least Common Multiple of 8600 and 8614?

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 8600 and 8614 is 37040200.

LCM(8600,8614) = 37040200

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Least Common Multiple of 8600 and 8614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8600 and 8614, than apply into the LCM equation.

GCF(8600,8614) = 2
LCM(8600,8614) = ( 8600 × 8614) / 2
LCM(8600,8614) = 74080400 / 2
LCM(8600,8614) = 37040200

Least Common Multiple (LCM) of 8600 and 8614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8600 and 8614. First we will calculate the prime factors of 8600 and 8614.

Prime Factorization of 8600

Prime factors of 8600 are 2, 5, 43. Prime factorization of 8600 in exponential form is:

8600 = 23 × 52 × 431

Prime Factorization of 8614

Prime factors of 8614 are 2, 59, 73. Prime factorization of 8614 in exponential form is:

8614 = 21 × 591 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 8600 and 8614.

LCM(8600,8614) = 23 × 52 × 431 × 591 × 731
LCM(8600,8614) = 37040200