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What is the Least Common Multiple of 81379 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 81379 and 81389 is 6623355431.

LCM(81379,81389) = 6623355431

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Least Common Multiple of 81379 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 81379 and 81389, than apply into the LCM equation.

GCF(81379,81389) = 1
LCM(81379,81389) = ( 81379 × 81389) / 1
LCM(81379,81389) = 6623355431 / 1
LCM(81379,81389) = 6623355431

Least Common Multiple (LCM) of 81379 and 81389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81379 and 81389. First we will calculate the prime factors of 81379 and 81389.

Prime Factorization of 81379

Prime factors of 81379 are 17, 4787. Prime factorization of 81379 in exponential form is:

81379 = 171 × 47871

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 81379 and 81389.

LCM(81379,81389) = 171 × 47871 × 72 × 111 × 1511
LCM(81379,81389) = 6623355431