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What is the Least Common Multiple of 93466 and 93479?

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 93466 and 93479 is 8737108214.

LCM(93466,93479) = 8737108214

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Least Common Multiple of 93466 and 93479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93466 and 93479, than apply into the LCM equation.

GCF(93466,93479) = 1
LCM(93466,93479) = ( 93466 × 93479) / 1
LCM(93466,93479) = 8737108214 / 1
LCM(93466,93479) = 8737108214

Least Common Multiple (LCM) of 93466 and 93479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93466 and 93479. First we will calculate the prime factors of 93466 and 93479.

Prime Factorization of 93466

Prime factors of 93466 are 2, 17, 2749. Prime factorization of 93466 in exponential form is:

93466 = 21 × 171 × 27491

Prime Factorization of 93479

Prime factors of 93479 are 93479. Prime factorization of 93479 in exponential form is:

93479 = 934791

Now multiplying the highest exponent prime factors to calculate the LCM of 93466 and 93479.

LCM(93466,93479) = 21 × 171 × 27491 × 934791
LCM(93466,93479) = 8737108214