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What is the Least Common Multiple of 8381 and 8391?

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 8381 and 8391 is 70324971.

LCM(8381,8391) = 70324971

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Least Common Multiple of 8381 and 8391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8381 and 8391, than apply into the LCM equation.

GCF(8381,8391) = 1
LCM(8381,8391) = ( 8381 × 8391) / 1
LCM(8381,8391) = 70324971 / 1
LCM(8381,8391) = 70324971

Least Common Multiple (LCM) of 8381 and 8391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8381 and 8391. First we will calculate the prime factors of 8381 and 8391.

Prime Factorization of 8381

Prime factors of 8381 are 17, 29. Prime factorization of 8381 in exponential form is:

8381 = 172 × 291

Prime Factorization of 8391

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

8391 = 31 × 27971

Now multiplying the highest exponent prime factors to calculate the LCM of 8381 and 8391.

LCM(8381,8391) = 172 × 291 × 31 × 27971
LCM(8381,8391) = 70324971