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What is the Least Common Multiple of 80279 and 80285?

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 80279 and 80285 is 6445199515.

LCM(80279,80285) = 6445199515

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Least Common Multiple of 80279 and 80285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80279 and 80285, than apply into the LCM equation.

GCF(80279,80285) = 1
LCM(80279,80285) = ( 80279 × 80285) / 1
LCM(80279,80285) = 6445199515 / 1
LCM(80279,80285) = 6445199515

Least Common Multiple (LCM) of 80279 and 80285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80279 and 80285. First we will calculate the prime factors of 80279 and 80285.

Prime Factorization of 80279

Prime factors of 80279 are 80279. Prime factorization of 80279 in exponential form is:

80279 = 802791

Prime Factorization of 80285

Prime factors of 80285 are 5, 16057. Prime factorization of 80285 in exponential form is:

80285 = 51 × 160571

Now multiplying the highest exponent prime factors to calculate the LCM of 80279 and 80285.

LCM(80279,80285) = 802791 × 51 × 160571
LCM(80279,80285) = 6445199515