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What is the Least Common Multiple of 92301 and 92317?

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 92301 and 92317 is 8520951417.

LCM(92301,92317) = 8520951417

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Least Common Multiple of 92301 and 92317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92301 and 92317, than apply into the LCM equation.

GCF(92301,92317) = 1
LCM(92301,92317) = ( 92301 × 92317) / 1
LCM(92301,92317) = 8520951417 / 1
LCM(92301,92317) = 8520951417

Least Common Multiple (LCM) of 92301 and 92317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92301 and 92317. First we will calculate the prime factors of 92301 and 92317.

Prime Factorization of 92301

Prime factors of 92301 are 3, 11, 2797. Prime factorization of 92301 in exponential form is:

92301 = 31 × 111 × 27971

Prime Factorization of 92317

Prime factors of 92317 are 92317. Prime factorization of 92317 in exponential form is:

92317 = 923171

Now multiplying the highest exponent prime factors to calculate the LCM of 92301 and 92317.

LCM(92301,92317) = 31 × 111 × 27971 × 923171
LCM(92301,92317) = 8520951417