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What is the Least Common Multiple of 95369 and 95385?

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 95369 and 95385 is 9096772065.

LCM(95369,95385) = 9096772065

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Least Common Multiple of 95369 and 95385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95369 and 95385, than apply into the LCM equation.

GCF(95369,95385) = 1
LCM(95369,95385) = ( 95369 × 95385) / 1
LCM(95369,95385) = 9096772065 / 1
LCM(95369,95385) = 9096772065

Least Common Multiple (LCM) of 95369 and 95385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95369 and 95385. First we will calculate the prime factors of 95369 and 95385.

Prime Factorization of 95369

Prime factors of 95369 are 95369. Prime factorization of 95369 in exponential form is:

95369 = 953691

Prime Factorization of 95385

Prime factors of 95385 are 3, 5, 6359. Prime factorization of 95385 in exponential form is:

95385 = 31 × 51 × 63591

Now multiplying the highest exponent prime factors to calculate the LCM of 95369 and 95385.

LCM(95369,95385) = 953691 × 31 × 51 × 63591
LCM(95369,95385) = 9096772065