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What is the Least Common Multiple of 93606 and 93611?

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 93606 and 93611 is 8762551266.

LCM(93606,93611) = 8762551266

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Least Common Multiple of 93606 and 93611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93606 and 93611, than apply into the LCM equation.

GCF(93606,93611) = 1
LCM(93606,93611) = ( 93606 × 93611) / 1
LCM(93606,93611) = 8762551266 / 1
LCM(93606,93611) = 8762551266

Least Common Multiple (LCM) of 93606 and 93611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93606 and 93611. First we will calculate the prime factors of 93606 and 93611.

Prime Factorization of 93606

Prime factors of 93606 are 2, 3, 15601. Prime factorization of 93606 in exponential form is:

93606 = 21 × 31 × 156011

Prime Factorization of 93611

Prime factors of 93611 are 7, 43, 311. Prime factorization of 93611 in exponential form is:

93611 = 71 × 431 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 93606 and 93611.

LCM(93606,93611) = 21 × 31 × 156011 × 71 × 431 × 3111
LCM(93606,93611) = 8762551266