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What is the Least Common Multiple of 80667 and 80671?

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 80667 and 80671 is 6507487557.

LCM(80667,80671) = 6507487557

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Least Common Multiple of 80667 and 80671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80667 and 80671, than apply into the LCM equation.

GCF(80667,80671) = 1
LCM(80667,80671) = ( 80667 × 80671) / 1
LCM(80667,80671) = 6507487557 / 1
LCM(80667,80671) = 6507487557

Least Common Multiple (LCM) of 80667 and 80671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80667 and 80671. First we will calculate the prime factors of 80667 and 80671.

Prime Factorization of 80667

Prime factors of 80667 are 3, 8963. Prime factorization of 80667 in exponential form is:

80667 = 32 × 89631

Prime Factorization of 80671

Prime factors of 80671 are 80671. Prime factorization of 80671 in exponential form is:

80671 = 806711

Now multiplying the highest exponent prime factors to calculate the LCM of 80667 and 80671.

LCM(80667,80671) = 32 × 89631 × 806711
LCM(80667,80671) = 6507487557