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What is the Least Common Multiple of 32379 and 32395?

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 32379 and 32395 is 1048917705.

LCM(32379,32395) = 1048917705

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Least Common Multiple of 32379 and 32395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32379 and 32395, than apply into the LCM equation.

GCF(32379,32395) = 1
LCM(32379,32395) = ( 32379 × 32395) / 1
LCM(32379,32395) = 1048917705 / 1
LCM(32379,32395) = 1048917705

Least Common Multiple (LCM) of 32379 and 32395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32379 and 32395. First we will calculate the prime factors of 32379 and 32395.

Prime Factorization of 32379

Prime factors of 32379 are 3, 43, 251. Prime factorization of 32379 in exponential form is:

32379 = 31 × 431 × 2511

Prime Factorization of 32395

Prime factors of 32395 are 5, 11, 19, 31. Prime factorization of 32395 in exponential form is:

32395 = 51 × 111 × 191 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 32379 and 32395.

LCM(32379,32395) = 31 × 431 × 2511 × 51 × 111 × 191 × 311
LCM(32379,32395) = 1048917705