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What is the Least Common Multiple of 65617 and 65623?

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 65617 and 65623 is 4305984391.

LCM(65617,65623) = 4305984391

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Least Common Multiple of 65617 and 65623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65617 and 65623, than apply into the LCM equation.

GCF(65617,65623) = 1
LCM(65617,65623) = ( 65617 × 65623) / 1
LCM(65617,65623) = 4305984391 / 1
LCM(65617,65623) = 4305984391

Least Common Multiple (LCM) of 65617 and 65623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65617 and 65623. First we will calculate the prime factors of 65617 and 65623.

Prime Factorization of 65617

Prime factors of 65617 are 65617. Prime factorization of 65617 in exponential form is:

65617 = 656171

Prime Factorization of 65623

Prime factors of 65623 are 137, 479. Prime factorization of 65623 in exponential form is:

65623 = 1371 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 65617 and 65623.

LCM(65617,65623) = 656171 × 1371 × 4791
LCM(65617,65623) = 4305984391