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What is the Least Common Multiple of 4577 and 4588?

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 4577 and 4588 is 20999276.

LCM(4577,4588) = 20999276

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Least Common Multiple of 4577 and 4588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4577 and 4588, than apply into the LCM equation.

GCF(4577,4588) = 1
LCM(4577,4588) = ( 4577 × 4588) / 1
LCM(4577,4588) = 20999276 / 1
LCM(4577,4588) = 20999276

Least Common Multiple (LCM) of 4577 and 4588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4577 and 4588. First we will calculate the prime factors of 4577 and 4588.

Prime Factorization of 4577

Prime factors of 4577 are 23, 199. Prime factorization of 4577 in exponential form is:

4577 = 231 × 1991

Prime Factorization of 4588

Prime factors of 4588 are 2, 31, 37. Prime factorization of 4588 in exponential form is:

4588 = 22 × 311 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 4577 and 4588.

LCM(4577,4588) = 231 × 1991 × 22 × 311 × 371
LCM(4577,4588) = 20999276