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What is the Least Common Multiple of 80323 and 80337?

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 80323 and 80337 is 6452908851.

LCM(80323,80337) = 6452908851

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Least Common Multiple of 80323 and 80337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80323 and 80337, than apply into the LCM equation.

GCF(80323,80337) = 1
LCM(80323,80337) = ( 80323 × 80337) / 1
LCM(80323,80337) = 6452908851 / 1
LCM(80323,80337) = 6452908851

Least Common Multiple (LCM) of 80323 and 80337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80323 and 80337. First we will calculate the prime factors of 80323 and 80337.

Prime Factorization of 80323

Prime factors of 80323 are 47, 1709. Prime factorization of 80323 in exponential form is:

80323 = 471 × 17091

Prime Factorization of 80337

Prime factors of 80337 are 3, 61, 439. Prime factorization of 80337 in exponential form is:

80337 = 31 × 611 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 80323 and 80337.

LCM(80323,80337) = 471 × 17091 × 31 × 611 × 4391
LCM(80323,80337) = 6452908851