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What is the Least Common Multiple of 80365 and 80383?

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 80365 and 80383 is 6459979795.

LCM(80365,80383) = 6459979795

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Least Common Multiple of 80365 and 80383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80365 and 80383, than apply into the LCM equation.

GCF(80365,80383) = 1
LCM(80365,80383) = ( 80365 × 80383) / 1
LCM(80365,80383) = 6459979795 / 1
LCM(80365,80383) = 6459979795

Least Common Multiple (LCM) of 80365 and 80383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80365 and 80383. First we will calculate the prime factors of 80365 and 80383.

Prime Factorization of 80365

Prime factors of 80365 are 5, 16073. Prime factorization of 80365 in exponential form is:

80365 = 51 × 160731

Prime Factorization of 80383

Prime factors of 80383 are 31, 2593. Prime factorization of 80383 in exponential form is:

80383 = 311 × 25931

Now multiplying the highest exponent prime factors to calculate the LCM of 80365 and 80383.

LCM(80365,80383) = 51 × 160731 × 311 × 25931
LCM(80365,80383) = 6459979795