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What is the Least Common Multiple of 93417 and 93435?

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 93417 and 93435 is 2909472465.

LCM(93417,93435) = 2909472465

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Least Common Multiple of 93417 and 93435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93417 and 93435, than apply into the LCM equation.

GCF(93417,93435) = 3
LCM(93417,93435) = ( 93417 × 93435) / 3
LCM(93417,93435) = 8728417395 / 3
LCM(93417,93435) = 2909472465

Least Common Multiple (LCM) of 93417 and 93435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93417 and 93435. First we will calculate the prime factors of 93417 and 93435.

Prime Factorization of 93417

Prime factors of 93417 are 3, 31139. Prime factorization of 93417 in exponential form is:

93417 = 31 × 311391

Prime Factorization of 93435

Prime factors of 93435 are 3, 5, 6229. Prime factorization of 93435 in exponential form is:

93435 = 31 × 51 × 62291

Now multiplying the highest exponent prime factors to calculate the LCM of 93417 and 93435.

LCM(93417,93435) = 31 × 311391 × 51 × 62291
LCM(93417,93435) = 2909472465