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What is the Least Common Multiple of 77339 and 77345?

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 77339 and 77345 is 5981784955.

LCM(77339,77345) = 5981784955

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Least Common Multiple of 77339 and 77345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77339 and 77345, than apply into the LCM equation.

GCF(77339,77345) = 1
LCM(77339,77345) = ( 77339 × 77345) / 1
LCM(77339,77345) = 5981784955 / 1
LCM(77339,77345) = 5981784955

Least Common Multiple (LCM) of 77339 and 77345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77339 and 77345. First we will calculate the prime factors of 77339 and 77345.

Prime Factorization of 77339

Prime factors of 77339 are 77339. Prime factorization of 77339 in exponential form is:

77339 = 773391

Prime Factorization of 77345

Prime factors of 77345 are 5, 31, 499. Prime factorization of 77345 in exponential form is:

77345 = 51 × 311 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 77339 and 77345.

LCM(77339,77345) = 773391 × 51 × 311 × 4991
LCM(77339,77345) = 5981784955