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What is the Least Common Multiple of 8391 and 8406?

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 8391 and 8406 is 23511582.

LCM(8391,8406) = 23511582

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Least Common Multiple of 8391 and 8406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8391 and 8406, than apply into the LCM equation.

GCF(8391,8406) = 3
LCM(8391,8406) = ( 8391 × 8406) / 3
LCM(8391,8406) = 70534746 / 3
LCM(8391,8406) = 23511582

Least Common Multiple (LCM) of 8391 and 8406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8391 and 8406. First we will calculate the prime factors of 8391 and 8406.

Prime Factorization of 8391

Prime factors of 8391 are 3, 2797. Prime factorization of 8391 in exponential form is:

8391 = 31 × 27971

Prime Factorization of 8406

Prime factors of 8406 are 2, 3, 467. Prime factorization of 8406 in exponential form is:

8406 = 21 × 32 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 8391 and 8406.

LCM(8391,8406) = 32 × 27971 × 21 × 4671
LCM(8391,8406) = 23511582