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What is the Least Common Multiple of 95363 and 95379?

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 95363 and 95379 is 9095627577.

LCM(95363,95379) = 9095627577

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Least Common Multiple of 95363 and 95379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95363 and 95379, than apply into the LCM equation.

GCF(95363,95379) = 1
LCM(95363,95379) = ( 95363 × 95379) / 1
LCM(95363,95379) = 9095627577 / 1
LCM(95363,95379) = 9095627577

Least Common Multiple (LCM) of 95363 and 95379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95363 and 95379. First we will calculate the prime factors of 95363 and 95379.

Prime Factorization of 95363

Prime factors of 95363 are 47, 2029. Prime factorization of 95363 in exponential form is:

95363 = 471 × 20291

Prime Factorization of 95379

Prime factors of 95379 are 3, 31793. Prime factorization of 95379 in exponential form is:

95379 = 31 × 317931

Now multiplying the highest exponent prime factors to calculate the LCM of 95363 and 95379.

LCM(95363,95379) = 471 × 20291 × 31 × 317931
LCM(95363,95379) = 9095627577