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What is the Least Common Multiple of 8596 and 8604?

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 8596 and 8604 is 18489996.

LCM(8596,8604) = 18489996

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Least Common Multiple of 8596 and 8604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8596 and 8604, than apply into the LCM equation.

GCF(8596,8604) = 4
LCM(8596,8604) = ( 8596 × 8604) / 4
LCM(8596,8604) = 73959984 / 4
LCM(8596,8604) = 18489996

Least Common Multiple (LCM) of 8596 and 8604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8596 and 8604. First we will calculate the prime factors of 8596 and 8604.

Prime Factorization of 8596

Prime factors of 8596 are 2, 7, 307. Prime factorization of 8596 in exponential form is:

8596 = 22 × 71 × 3071

Prime Factorization of 8604

Prime factors of 8604 are 2, 3, 239. Prime factorization of 8604 in exponential form is:

8604 = 22 × 32 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 8596 and 8604.

LCM(8596,8604) = 22 × 71 × 3071 × 32 × 2391
LCM(8596,8604) = 18489996