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What is the Least Common Multiple of 8596 and 8608?

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 8608 is 18498592.

LCM(8596,8608) = 18498592

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Least Common Multiple of 8596 and 8608 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 8608, than apply into the LCM equation.

GCF(8596,8608) = 4
LCM(8596,8608) = ( 8596 × 8608) / 4
LCM(8596,8608) = 73994368 / 4
LCM(8596,8608) = 18498592

Least Common Multiple (LCM) of 8596 and 8608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8596 and 8608. First we will calculate the prime factors of 8596 and 8608.

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 8608

Prime factors of 8608 are 2, 269. Prime factorization of 8608 in exponential form is:

8608 = 25 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 8596 and 8608.

LCM(8596,8608) = 25 × 71 × 3071 × 2691
LCM(8596,8608) = 18498592