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What is the Least Common Multiple of 8583 and 8587?

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 8583 and 8587 is 73702221.

LCM(8583,8587) = 73702221

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Least Common Multiple of 8583 and 8587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8583 and 8587, than apply into the LCM equation.

GCF(8583,8587) = 1
LCM(8583,8587) = ( 8583 × 8587) / 1
LCM(8583,8587) = 73702221 / 1
LCM(8583,8587) = 73702221

Least Common Multiple (LCM) of 8583 and 8587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8583 and 8587. First we will calculate the prime factors of 8583 and 8587.

Prime Factorization of 8583

Prime factors of 8583 are 3, 2861. Prime factorization of 8583 in exponential form is:

8583 = 31 × 28611

Prime Factorization of 8587

Prime factors of 8587 are 31, 277. Prime factorization of 8587 in exponential form is:

8587 = 311 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 8583 and 8587.

LCM(8583,8587) = 31 × 28611 × 311 × 2771
LCM(8583,8587) = 73702221