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What is the Least Common Multiple of 93568 and 93577?

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 93568 and 93577 is 8755812736.

LCM(93568,93577) = 8755812736

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Least Common Multiple of 93568 and 93577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93568 and 93577, than apply into the LCM equation.

GCF(93568,93577) = 1
LCM(93568,93577) = ( 93568 × 93577) / 1
LCM(93568,93577) = 8755812736 / 1
LCM(93568,93577) = 8755812736

Least Common Multiple (LCM) of 93568 and 93577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93568 and 93577. First we will calculate the prime factors of 93568 and 93577.

Prime Factorization of 93568

Prime factors of 93568 are 2, 17, 43. Prime factorization of 93568 in exponential form is:

93568 = 27 × 171 × 431

Prime Factorization of 93577

Prime factors of 93577 are 11, 47, 181. Prime factorization of 93577 in exponential form is:

93577 = 111 × 471 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 93568 and 93577.

LCM(93568,93577) = 27 × 171 × 431 × 111 × 471 × 1811
LCM(93568,93577) = 8755812736