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What is the Least Common Multiple of 95297 and 95312?

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 95297 and 95312 is 9082947664.

LCM(95297,95312) = 9082947664

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Least Common Multiple of 95297 and 95312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95297 and 95312, than apply into the LCM equation.

GCF(95297,95312) = 1
LCM(95297,95312) = ( 95297 × 95312) / 1
LCM(95297,95312) = 9082947664 / 1
LCM(95297,95312) = 9082947664

Least Common Multiple (LCM) of 95297 and 95312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95297 and 95312. First we will calculate the prime factors of 95297 and 95312.

Prime Factorization of 95297

Prime factors of 95297 are 233, 409. Prime factorization of 95297 in exponential form is:

95297 = 2331 × 4091

Prime Factorization of 95312

Prime factors of 95312 are 2, 7, 23, 37. Prime factorization of 95312 in exponential form is:

95312 = 24 × 71 × 231 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 95297 and 95312.

LCM(95297,95312) = 2331 × 4091 × 24 × 71 × 231 × 371
LCM(95297,95312) = 9082947664