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What is the Least Common Multiple of 47381 and 47395?

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 47381 and 47395 is 2245622495.

LCM(47381,47395) = 2245622495

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Least Common Multiple of 47381 and 47395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47381 and 47395, than apply into the LCM equation.

GCF(47381,47395) = 1
LCM(47381,47395) = ( 47381 × 47395) / 1
LCM(47381,47395) = 2245622495 / 1
LCM(47381,47395) = 2245622495

Least Common Multiple (LCM) of 47381 and 47395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47381 and 47395. First we will calculate the prime factors of 47381 and 47395.

Prime Factorization of 47381

Prime factors of 47381 are 47381. Prime factorization of 47381 in exponential form is:

47381 = 473811

Prime Factorization of 47395

Prime factors of 47395 are 5, 9479. Prime factorization of 47395 in exponential form is:

47395 = 51 × 94791

Now multiplying the highest exponent prime factors to calculate the LCM of 47381 and 47395.

LCM(47381,47395) = 473811 × 51 × 94791
LCM(47381,47395) = 2245622495