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What is the Least Common Multiple of 96377 and 96395?

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 96377 and 96395 is 9290260915.

LCM(96377,96395) = 9290260915

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Least Common Multiple of 96377 and 96395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96377 and 96395, than apply into the LCM equation.

GCF(96377,96395) = 1
LCM(96377,96395) = ( 96377 × 96395) / 1
LCM(96377,96395) = 9290260915 / 1
LCM(96377,96395) = 9290260915

Least Common Multiple (LCM) of 96377 and 96395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96377 and 96395. First we will calculate the prime factors of 96377 and 96395.

Prime Factorization of 96377

Prime factors of 96377 are 96377. Prime factorization of 96377 in exponential form is:

96377 = 963771

Prime Factorization of 96395

Prime factors of 96395 are 5, 13, 1483. Prime factorization of 96395 in exponential form is:

96395 = 51 × 131 × 14831

Now multiplying the highest exponent prime factors to calculate the LCM of 96377 and 96395.

LCM(96377,96395) = 963771 × 51 × 131 × 14831
LCM(96377,96395) = 9290260915