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What is the Least Common Multiple of 80578 and 80583?

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 80578 and 80583 is 6493216974.

LCM(80578,80583) = 6493216974

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Least Common Multiple of 80578 and 80583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80578 and 80583, than apply into the LCM equation.

GCF(80578,80583) = 1
LCM(80578,80583) = ( 80578 × 80583) / 1
LCM(80578,80583) = 6493216974 / 1
LCM(80578,80583) = 6493216974

Least Common Multiple (LCM) of 80578 and 80583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80578 and 80583. First we will calculate the prime factors of 80578 and 80583.

Prime Factorization of 80578

Prime factors of 80578 are 2, 40289. Prime factorization of 80578 in exponential form is:

80578 = 21 × 402891

Prime Factorization of 80583

Prime factors of 80583 are 3, 26861. Prime factorization of 80583 in exponential form is:

80583 = 31 × 268611

Now multiplying the highest exponent prime factors to calculate the LCM of 80578 and 80583.

LCM(80578,80583) = 21 × 402891 × 31 × 268611
LCM(80578,80583) = 6493216974