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What is the Least Common Multiple of 52577 and 52584?

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 52577 and 52584 is 394958424.

LCM(52577,52584) = 394958424

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Least Common Multiple of 52577 and 52584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52577 and 52584, than apply into the LCM equation.

GCF(52577,52584) = 7
LCM(52577,52584) = ( 52577 × 52584) / 7
LCM(52577,52584) = 2764708968 / 7
LCM(52577,52584) = 394958424

Least Common Multiple (LCM) of 52577 and 52584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52577 and 52584. First we will calculate the prime factors of 52577 and 52584.

Prime Factorization of 52577

Prime factors of 52577 are 7, 29, 37. Prime factorization of 52577 in exponential form is:

52577 = 72 × 291 × 371

Prime Factorization of 52584

Prime factors of 52584 are 2, 3, 7, 313. Prime factorization of 52584 in exponential form is:

52584 = 23 × 31 × 71 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 52577 and 52584.

LCM(52577,52584) = 72 × 291 × 371 × 23 × 31 × 3131
LCM(52577,52584) = 394958424