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What is the Least Common Multiple of 81387 and 81398?

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 81387 and 81398 is 6624739026.

LCM(81387,81398) = 6624739026

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Least Common Multiple of 81387 and 81398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81387 and 81398, than apply into the LCM equation.

GCF(81387,81398) = 1
LCM(81387,81398) = ( 81387 × 81398) / 1
LCM(81387,81398) = 6624739026 / 1
LCM(81387,81398) = 6624739026

Least Common Multiple (LCM) of 81387 and 81398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81387 and 81398. First we will calculate the prime factors of 81387 and 81398.

Prime Factorization of 81387

Prime factors of 81387 are 3, 9043. Prime factorization of 81387 in exponential form is:

81387 = 32 × 90431

Prime Factorization of 81398

Prime factors of 81398 are 2, 40699. Prime factorization of 81398 in exponential form is:

81398 = 21 × 406991

Now multiplying the highest exponent prime factors to calculate the LCM of 81387 and 81398.

LCM(81387,81398) = 32 × 90431 × 21 × 406991
LCM(81387,81398) = 6624739026