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What is the Least Common Multiple of 80677 and 80681?

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 80677 and 80681 is 6509101037.

LCM(80677,80681) = 6509101037

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Least Common Multiple of 80677 and 80681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80677 and 80681, than apply into the LCM equation.

GCF(80677,80681) = 1
LCM(80677,80681) = ( 80677 × 80681) / 1
LCM(80677,80681) = 6509101037 / 1
LCM(80677,80681) = 6509101037

Least Common Multiple (LCM) of 80677 and 80681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80677 and 80681. First we will calculate the prime factors of 80677 and 80681.

Prime Factorization of 80677

Prime factors of 80677 are 80677. Prime factorization of 80677 in exponential form is:

80677 = 806771

Prime Factorization of 80681

Prime factors of 80681 are 80681. Prime factorization of 80681 in exponential form is:

80681 = 806811

Now multiplying the highest exponent prime factors to calculate the LCM of 80677 and 80681.

LCM(80677,80681) = 806771 × 806811
LCM(80677,80681) = 6509101037