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What is the Least Common Multiple of 8600 and 8619?

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 8619 is 74123400.

LCM(8600,8619) = 74123400

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Least Common Multiple of 8600 and 8619 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 8619, than apply into the LCM equation.

GCF(8600,8619) = 1
LCM(8600,8619) = ( 8600 × 8619) / 1
LCM(8600,8619) = 74123400 / 1
LCM(8600,8619) = 74123400

Least Common Multiple (LCM) of 8600 and 8619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8600 and 8619. First we will calculate the prime factors of 8600 and 8619.

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 8619

Prime factors of 8619 are 3, 13, 17. Prime factorization of 8619 in exponential form is:

8619 = 31 × 132 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 8600 and 8619.

LCM(8600,8619) = 23 × 52 × 431 × 31 × 132 × 171
LCM(8600,8619) = 74123400