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What is the Least Common Multiple of 80669 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 80669 and 80681 is 6508455589.

LCM(80669,80681) = 6508455589

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Least Common Multiple of 80669 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 80669 and 80681, than apply into the LCM equation.

GCF(80669,80681) = 1
LCM(80669,80681) = ( 80669 × 80681) / 1
LCM(80669,80681) = 6508455589 / 1
LCM(80669,80681) = 6508455589

Least Common Multiple (LCM) of 80669 and 80681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80669 and 80681. First we will calculate the prime factors of 80669 and 80681.

Prime Factorization of 80669

Prime factors of 80669 are 80669. Prime factorization of 80669 in exponential form is:

80669 = 806691

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 80669 and 80681.

LCM(80669,80681) = 806691 × 806811
LCM(80669,80681) = 6508455589