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What is the Least Common Multiple of 64566 and 64583?

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 64566 and 64583 is 245286234.

LCM(64566,64583) = 245286234

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Least Common Multiple of 64566 and 64583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64566 and 64583, than apply into the LCM equation.

GCF(64566,64583) = 17
LCM(64566,64583) = ( 64566 × 64583) / 17
LCM(64566,64583) = 4169865978 / 17
LCM(64566,64583) = 245286234

Least Common Multiple (LCM) of 64566 and 64583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64566 and 64583. First we will calculate the prime factors of 64566 and 64583.

Prime Factorization of 64566

Prime factors of 64566 are 2, 3, 17, 211. Prime factorization of 64566 in exponential form is:

64566 = 21 × 32 × 171 × 2111

Prime Factorization of 64583

Prime factors of 64583 are 17, 29, 131. Prime factorization of 64583 in exponential form is:

64583 = 171 × 291 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 64566 and 64583.

LCM(64566,64583) = 21 × 32 × 171 × 2111 × 291 × 1311
LCM(64566,64583) = 245286234