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What is the Least Common Multiple of 36482 and 36487?

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 36482 and 36487 is 1331118734.

LCM(36482,36487) = 1331118734

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Least Common Multiple of 36482 and 36487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36482 and 36487, than apply into the LCM equation.

GCF(36482,36487) = 1
LCM(36482,36487) = ( 36482 × 36487) / 1
LCM(36482,36487) = 1331118734 / 1
LCM(36482,36487) = 1331118734

Least Common Multiple (LCM) of 36482 and 36487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36482 and 36487. First we will calculate the prime factors of 36482 and 36487.

Prime Factorization of 36482

Prime factors of 36482 are 2, 17, 29, 37. Prime factorization of 36482 in exponential form is:

36482 = 21 × 171 × 291 × 371

Prime Factorization of 36487

Prime factors of 36487 are 11, 31, 107. Prime factorization of 36487 in exponential form is:

36487 = 111 × 311 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 36482 and 36487.

LCM(36482,36487) = 21 × 171 × 291 × 371 × 111 × 311 × 1071
LCM(36482,36487) = 1331118734