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What is the Least Common Multiple of 32518 and 32537?

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 32518 and 32537 is 1058038166.

LCM(32518,32537) = 1058038166

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Least Common Multiple of 32518 and 32537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32518 and 32537, than apply into the LCM equation.

GCF(32518,32537) = 1
LCM(32518,32537) = ( 32518 × 32537) / 1
LCM(32518,32537) = 1058038166 / 1
LCM(32518,32537) = 1058038166

Least Common Multiple (LCM) of 32518 and 32537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32518 and 32537. First we will calculate the prime factors of 32518 and 32537.

Prime Factorization of 32518

Prime factors of 32518 are 2, 71, 229. Prime factorization of 32518 in exponential form is:

32518 = 21 × 711 × 2291

Prime Factorization of 32537

Prime factors of 32537 are 32537. Prime factorization of 32537 in exponential form is:

32537 = 325371

Now multiplying the highest exponent prime factors to calculate the LCM of 32518 and 32537.

LCM(32518,32537) = 21 × 711 × 2291 × 325371
LCM(32518,32537) = 1058038166