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What is the Least Common Multiple of 80886 and 80891?

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 80886 and 80891 is 6542949426.

LCM(80886,80891) = 6542949426

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Least Common Multiple of 80886 and 80891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80886 and 80891, than apply into the LCM equation.

GCF(80886,80891) = 1
LCM(80886,80891) = ( 80886 × 80891) / 1
LCM(80886,80891) = 6542949426 / 1
LCM(80886,80891) = 6542949426

Least Common Multiple (LCM) of 80886 and 80891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80886 and 80891. First we will calculate the prime factors of 80886 and 80891.

Prime Factorization of 80886

Prime factors of 80886 are 2, 3, 13, 17, 61. Prime factorization of 80886 in exponential form is:

80886 = 21 × 31 × 131 × 171 × 611

Prime Factorization of 80891

Prime factors of 80891 are 23, 3517. Prime factorization of 80891 in exponential form is:

80891 = 231 × 35171

Now multiplying the highest exponent prime factors to calculate the LCM of 80886 and 80891.

LCM(80886,80891) = 21 × 31 × 131 × 171 × 611 × 231 × 35171
LCM(80886,80891) = 6542949426