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What is the Least Common Multiple of 10397 and 10406?

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 10397 and 10406 is 108191182.

LCM(10397,10406) = 108191182

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Least Common Multiple of 10397 and 10406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10397 and 10406, than apply into the LCM equation.

GCF(10397,10406) = 1
LCM(10397,10406) = ( 10397 × 10406) / 1
LCM(10397,10406) = 108191182 / 1
LCM(10397,10406) = 108191182

Least Common Multiple (LCM) of 10397 and 10406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10397 and 10406. First we will calculate the prime factors of 10397 and 10406.

Prime Factorization of 10397

Prime factors of 10397 are 37, 281. Prime factorization of 10397 in exponential form is:

10397 = 371 × 2811

Prime Factorization of 10406

Prime factors of 10406 are 2, 11, 43. Prime factorization of 10406 in exponential form is:

10406 = 21 × 112 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 10397 and 10406.

LCM(10397,10406) = 371 × 2811 × 21 × 112 × 431
LCM(10397,10406) = 108191182