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What is the Least Common Multiple of 64569 and 64577?

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 64569 and 64577 is 4169672313.

LCM(64569,64577) = 4169672313

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Least Common Multiple of 64569 and 64577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64569 and 64577, than apply into the LCM equation.

GCF(64569,64577) = 1
LCM(64569,64577) = ( 64569 × 64577) / 1
LCM(64569,64577) = 4169672313 / 1
LCM(64569,64577) = 4169672313

Least Common Multiple (LCM) of 64569 and 64577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64569 and 64577. First we will calculate the prime factors of 64569 and 64577.

Prime Factorization of 64569

Prime factors of 64569 are 3, 21523. Prime factorization of 64569 in exponential form is:

64569 = 31 × 215231

Prime Factorization of 64577

Prime factors of 64577 are 64577. Prime factorization of 64577 in exponential form is:

64577 = 645771

Now multiplying the highest exponent prime factors to calculate the LCM of 64569 and 64577.

LCM(64569,64577) = 31 × 215231 × 645771
LCM(64569,64577) = 4169672313