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What is the Least Common Multiple of 65581 and 65600?

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 65581 and 65600 is 4302113600.

LCM(65581,65600) = 4302113600

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Least Common Multiple of 65581 and 65600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65581 and 65600, than apply into the LCM equation.

GCF(65581,65600) = 1
LCM(65581,65600) = ( 65581 × 65600) / 1
LCM(65581,65600) = 4302113600 / 1
LCM(65581,65600) = 4302113600

Least Common Multiple (LCM) of 65581 and 65600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65581 and 65600. First we will calculate the prime factors of 65581 and 65600.

Prime Factorization of 65581

Prime factors of 65581 are 65581. Prime factorization of 65581 in exponential form is:

65581 = 655811

Prime Factorization of 65600

Prime factors of 65600 are 2, 5, 41. Prime factorization of 65600 in exponential form is:

65600 = 26 × 52 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 65581 and 65600.

LCM(65581,65600) = 655811 × 26 × 52 × 411
LCM(65581,65600) = 4302113600