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What is the Least Common Multiple of 93649 and 93656?

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 93649 and 93656 is 8770790744.

LCM(93649,93656) = 8770790744

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Least Common Multiple of 93649 and 93656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93649 and 93656, than apply into the LCM equation.

GCF(93649,93656) = 1
LCM(93649,93656) = ( 93649 × 93656) / 1
LCM(93649,93656) = 8770790744 / 1
LCM(93649,93656) = 8770790744

Least Common Multiple (LCM) of 93649 and 93656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93649 and 93656. First we will calculate the prime factors of 93649 and 93656.

Prime Factorization of 93649

Prime factors of 93649 are 71, 1319. Prime factorization of 93649 in exponential form is:

93649 = 711 × 13191

Prime Factorization of 93656

Prime factors of 93656 are 2, 23, 509. Prime factorization of 93656 in exponential form is:

93656 = 23 × 231 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 93649 and 93656.

LCM(93649,93656) = 711 × 13191 × 23 × 231 × 5091
LCM(93649,93656) = 8770790744