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What is the Least Common Multiple of 81383 and 81401?

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 81383 and 81401 is 6624657583.

LCM(81383,81401) = 6624657583

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Least Common Multiple of 81383 and 81401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81383 and 81401, than apply into the LCM equation.

GCF(81383,81401) = 1
LCM(81383,81401) = ( 81383 × 81401) / 1
LCM(81383,81401) = 6624657583 / 1
LCM(81383,81401) = 6624657583

Least Common Multiple (LCM) of 81383 and 81401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81383 and 81401. First we will calculate the prime factors of 81383 and 81401.

Prime Factorization of 81383

Prime factors of 81383 are 97, 839. Prime factorization of 81383 in exponential form is:

81383 = 971 × 8391

Prime Factorization of 81401

Prime factors of 81401 are 81401. Prime factorization of 81401 in exponential form is:

81401 = 814011

Now multiplying the highest exponent prime factors to calculate the LCM of 81383 and 81401.

LCM(81383,81401) = 971 × 8391 × 814011
LCM(81383,81401) = 6624657583