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What is the Least Common Multiple of 93801 and 93807?

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 93801 and 93807 is 2933063469.

LCM(93801,93807) = 2933063469

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Least Common Multiple of 93801 and 93807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93801 and 93807, than apply into the LCM equation.

GCF(93801,93807) = 3
LCM(93801,93807) = ( 93801 × 93807) / 3
LCM(93801,93807) = 8799190407 / 3
LCM(93801,93807) = 2933063469

Least Common Multiple (LCM) of 93801 and 93807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93801 and 93807. First we will calculate the prime factors of 93801 and 93807.

Prime Factorization of 93801

Prime factors of 93801 are 3, 31267. Prime factorization of 93801 in exponential form is:

93801 = 31 × 312671

Prime Factorization of 93807

Prime factors of 93807 are 3, 7, 1489. Prime factorization of 93807 in exponential form is:

93807 = 32 × 71 × 14891

Now multiplying the highest exponent prime factors to calculate the LCM of 93801 and 93807.

LCM(93801,93807) = 32 × 312671 × 71 × 14891
LCM(93801,93807) = 2933063469