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What is the Least Common Multiple of 93204 and 93217?

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 93204 and 93217 is 8688197268.

LCM(93204,93217) = 8688197268

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Least Common Multiple of 93204 and 93217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93204 and 93217, than apply into the LCM equation.

GCF(93204,93217) = 1
LCM(93204,93217) = ( 93204 × 93217) / 1
LCM(93204,93217) = 8688197268 / 1
LCM(93204,93217) = 8688197268

Least Common Multiple (LCM) of 93204 and 93217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93204 and 93217. First we will calculate the prime factors of 93204 and 93217.

Prime Factorization of 93204

Prime factors of 93204 are 2, 3, 863. Prime factorization of 93204 in exponential form is:

93204 = 22 × 33 × 8631

Prime Factorization of 93217

Prime factors of 93217 are 31, 97. Prime factorization of 93217 in exponential form is:

93217 = 312 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 93204 and 93217.

LCM(93204,93217) = 22 × 33 × 8631 × 312 × 971
LCM(93204,93217) = 8688197268