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What is the Least Common Multiple of 93101 and 93107?

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 93101 and 93107 is 8668354807.

LCM(93101,93107) = 8668354807

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Least Common Multiple of 93101 and 93107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93101 and 93107, than apply into the LCM equation.

GCF(93101,93107) = 1
LCM(93101,93107) = ( 93101 × 93107) / 1
LCM(93101,93107) = 8668354807 / 1
LCM(93101,93107) = 8668354807

Least Common Multiple (LCM) of 93101 and 93107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93101 and 93107. First we will calculate the prime factors of 93101 and 93107.

Prime Factorization of 93101

Prime factors of 93101 are 157, 593. Prime factorization of 93101 in exponential form is:

93101 = 1571 × 5931

Prime Factorization of 93107

Prime factors of 93107 are 7, 47, 283. Prime factorization of 93107 in exponential form is:

93107 = 71 × 471 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 93101 and 93107.

LCM(93101,93107) = 1571 × 5931 × 71 × 471 × 2831
LCM(93101,93107) = 8668354807