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What is the Least Common Multiple of 93643 and 93649?

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 93643 and 93649 is 8769573307.

LCM(93643,93649) = 8769573307

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Least Common Multiple of 93643 and 93649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93643 and 93649, than apply into the LCM equation.

GCF(93643,93649) = 1
LCM(93643,93649) = ( 93643 × 93649) / 1
LCM(93643,93649) = 8769573307 / 1
LCM(93643,93649) = 8769573307

Least Common Multiple (LCM) of 93643 and 93649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93643 and 93649. First we will calculate the prime factors of 93643 and 93649.

Prime Factorization of 93643

Prime factors of 93643 are 11, 8513. Prime factorization of 93643 in exponential form is:

93643 = 111 × 85131

Prime Factorization of 93649

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

93649 = 711 × 13191

Now multiplying the highest exponent prime factors to calculate the LCM of 93643 and 93649.

LCM(93643,93649) = 111 × 85131 × 711 × 13191
LCM(93643,93649) = 8769573307