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What is the Least Common Multiple of 80861 and 80872?

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 80861 and 80872 is 594490072.

LCM(80861,80872) = 594490072

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Least Common Multiple of 80861 and 80872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80861 and 80872, than apply into the LCM equation.

GCF(80861,80872) = 11
LCM(80861,80872) = ( 80861 × 80872) / 11
LCM(80861,80872) = 6539390792 / 11
LCM(80861,80872) = 594490072

Least Common Multiple (LCM) of 80861 and 80872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80861 and 80872. First we will calculate the prime factors of 80861 and 80872.

Prime Factorization of 80861

Prime factors of 80861 are 11, 7351. Prime factorization of 80861 in exponential form is:

80861 = 111 × 73511

Prime Factorization of 80872

Prime factors of 80872 are 2, 11, 919. Prime factorization of 80872 in exponential form is:

80872 = 23 × 111 × 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 80861 and 80872.

LCM(80861,80872) = 111 × 73511 × 23 × 9191
LCM(80861,80872) = 594490072