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What is the Least Common Multiple of 77329 and 77340?

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 77329 and 77340 is 5980624860.

LCM(77329,77340) = 5980624860

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Least Common Multiple of 77329 and 77340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77329 and 77340, than apply into the LCM equation.

GCF(77329,77340) = 1
LCM(77329,77340) = ( 77329 × 77340) / 1
LCM(77329,77340) = 5980624860 / 1
LCM(77329,77340) = 5980624860

Least Common Multiple (LCM) of 77329 and 77340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77329 and 77340. First we will calculate the prime factors of 77329 and 77340.

Prime Factorization of 77329

Prime factors of 77329 are 7, 11047. Prime factorization of 77329 in exponential form is:

77329 = 71 × 110471

Prime Factorization of 77340

Prime factors of 77340 are 2, 3, 5, 1289. Prime factorization of 77340 in exponential form is:

77340 = 22 × 31 × 51 × 12891

Now multiplying the highest exponent prime factors to calculate the LCM of 77329 and 77340.

LCM(77329,77340) = 71 × 110471 × 22 × 31 × 51 × 12891
LCM(77329,77340) = 5980624860