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What is the Least Common Multiple of 93614 and 93623?

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 93614 and 93623 is 8764423522.

LCM(93614,93623) = 8764423522

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Least Common Multiple of 93614 and 93623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93614 and 93623, than apply into the LCM equation.

GCF(93614,93623) = 1
LCM(93614,93623) = ( 93614 × 93623) / 1
LCM(93614,93623) = 8764423522 / 1
LCM(93614,93623) = 8764423522

Least Common Multiple (LCM) of 93614 and 93623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93614 and 93623. First we will calculate the prime factors of 93614 and 93623.

Prime Factorization of 93614

Prime factors of 93614 are 2, 46807. Prime factorization of 93614 in exponential form is:

93614 = 21 × 468071

Prime Factorization of 93623

Prime factors of 93623 are 251, 373. Prime factorization of 93623 in exponential form is:

93623 = 2511 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 93614 and 93623.

LCM(93614,93623) = 21 × 468071 × 2511 × 3731
LCM(93614,93623) = 8764423522