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What is the Least Common Multiple of 65592 and 65599?

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 65592 and 65599 is 4302769608.

LCM(65592,65599) = 4302769608

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Least Common Multiple of 65592 and 65599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65592 and 65599, than apply into the LCM equation.

GCF(65592,65599) = 1
LCM(65592,65599) = ( 65592 × 65599) / 1
LCM(65592,65599) = 4302769608 / 1
LCM(65592,65599) = 4302769608

Least Common Multiple (LCM) of 65592 and 65599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65592 and 65599. First we will calculate the prime factors of 65592 and 65599.

Prime Factorization of 65592

Prime factors of 65592 are 2, 3, 911. Prime factorization of 65592 in exponential form is:

65592 = 23 × 32 × 9111

Prime Factorization of 65599

Prime factors of 65599 are 65599. Prime factorization of 65599 in exponential form is:

65599 = 655991

Now multiplying the highest exponent prime factors to calculate the LCM of 65592 and 65599.

LCM(65592,65599) = 23 × 32 × 9111 × 655991
LCM(65592,65599) = 4302769608