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What is the Least Common Multiple of 80862 and 80878?

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 80862 and 80878 is 3269978418.

LCM(80862,80878) = 3269978418

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Least Common Multiple of 80862 and 80878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80862 and 80878, than apply into the LCM equation.

GCF(80862,80878) = 2
LCM(80862,80878) = ( 80862 × 80878) / 2
LCM(80862,80878) = 6539956836 / 2
LCM(80862,80878) = 3269978418

Least Common Multiple (LCM) of 80862 and 80878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80862 and 80878. First we will calculate the prime factors of 80862 and 80878.

Prime Factorization of 80862

Prime factors of 80862 are 2, 3, 13477. Prime factorization of 80862 in exponential form is:

80862 = 21 × 31 × 134771

Prime Factorization of 80878

Prime factors of 80878 are 2, 7, 53, 109. Prime factorization of 80878 in exponential form is:

80878 = 21 × 71 × 531 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 80862 and 80878.

LCM(80862,80878) = 21 × 31 × 134771 × 71 × 531 × 1091
LCM(80862,80878) = 3269978418