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What is the Least Common Multiple of 10395 and 10408?

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 10395 and 10408 is 108191160.

LCM(10395,10408) = 108191160

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Least Common Multiple of 10395 and 10408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10395 and 10408, than apply into the LCM equation.

GCF(10395,10408) = 1
LCM(10395,10408) = ( 10395 × 10408) / 1
LCM(10395,10408) = 108191160 / 1
LCM(10395,10408) = 108191160

Least Common Multiple (LCM) of 10395 and 10408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10395 and 10408. First we will calculate the prime factors of 10395 and 10408.

Prime Factorization of 10395

Prime factors of 10395 are 3, 5, 7, 11. Prime factorization of 10395 in exponential form is:

10395 = 33 × 51 × 71 × 111

Prime Factorization of 10408

Prime factors of 10408 are 2, 1301. Prime factorization of 10408 in exponential form is:

10408 = 23 × 13011

Now multiplying the highest exponent prime factors to calculate the LCM of 10395 and 10408.

LCM(10395,10408) = 33 × 51 × 71 × 111 × 23 × 13011
LCM(10395,10408) = 108191160