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What is the Least Common Multiple of 95807 and 95812?

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 95807 and 95812 is 9179460284.

LCM(95807,95812) = 9179460284

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Least Common Multiple of 95807 and 95812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95807 and 95812, than apply into the LCM equation.

GCF(95807,95812) = 1
LCM(95807,95812) = ( 95807 × 95812) / 1
LCM(95807,95812) = 9179460284 / 1
LCM(95807,95812) = 9179460284

Least Common Multiple (LCM) of 95807 and 95812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95807 and 95812. First we will calculate the prime factors of 95807 and 95812.

Prime Factorization of 95807

Prime factors of 95807 are 149, 643. Prime factorization of 95807 in exponential form is:

95807 = 1491 × 6431

Prime Factorization of 95812

Prime factors of 95812 are 2, 17, 1409. Prime factorization of 95812 in exponential form is:

95812 = 22 × 171 × 14091

Now multiplying the highest exponent prime factors to calculate the LCM of 95807 and 95812.

LCM(95807,95812) = 1491 × 6431 × 22 × 171 × 14091
LCM(95807,95812) = 9179460284