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What is the Least Common Multiple of 65577 and 65595?

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 65577 and 65595 is 1433841105.

LCM(65577,65595) = 1433841105

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Least Common Multiple of 65577 and 65595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65577 and 65595, than apply into the LCM equation.

GCF(65577,65595) = 3
LCM(65577,65595) = ( 65577 × 65595) / 3
LCM(65577,65595) = 4301523315 / 3
LCM(65577,65595) = 1433841105

Least Common Multiple (LCM) of 65577 and 65595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65577 and 65595. First we will calculate the prime factors of 65577 and 65595.

Prime Factorization of 65577

Prime factors of 65577 are 3, 21859. Prime factorization of 65577 in exponential form is:

65577 = 31 × 218591

Prime Factorization of 65595

Prime factors of 65595 are 3, 5, 4373. Prime factorization of 65595 in exponential form is:

65595 = 31 × 51 × 43731

Now multiplying the highest exponent prime factors to calculate the LCM of 65577 and 65595.

LCM(65577,65595) = 31 × 218591 × 51 × 43731
LCM(65577,65595) = 1433841105