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What is the Least Common Multiple of 81371 and 81389?

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 81371 and 81389 is 6622704319.

LCM(81371,81389) = 6622704319

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Least Common Multiple of 81371 and 81389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81371 and 81389, than apply into the LCM equation.

GCF(81371,81389) = 1
LCM(81371,81389) = ( 81371 × 81389) / 1
LCM(81371,81389) = 6622704319 / 1
LCM(81371,81389) = 6622704319

Least Common Multiple (LCM) of 81371 and 81389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81371 and 81389. First we will calculate the prime factors of 81371 and 81389.

Prime Factorization of 81371

Prime factors of 81371 are 81371. Prime factorization of 81371 in exponential form is:

81371 = 813711

Prime Factorization of 81389

Prime factors of 81389 are 7, 11, 151. Prime factorization of 81389 in exponential form is:

81389 = 72 × 111 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 81371 and 81389.

LCM(81371,81389) = 813711 × 72 × 111 × 1511
LCM(81371,81389) = 6622704319