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What is the Least Common Multiple of 80818 and 80826?

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 80818 and 80826 is 3266097834.

LCM(80818,80826) = 3266097834

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Least Common Multiple of 80818 and 80826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80818 and 80826, than apply into the LCM equation.

GCF(80818,80826) = 2
LCM(80818,80826) = ( 80818 × 80826) / 2
LCM(80818,80826) = 6532195668 / 2
LCM(80818,80826) = 3266097834

Least Common Multiple (LCM) of 80818 and 80826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80818 and 80826. First we will calculate the prime factors of 80818 and 80826.

Prime Factorization of 80818

Prime factors of 80818 are 2, 17, 2377. Prime factorization of 80818 in exponential form is:

80818 = 21 × 171 × 23771

Prime Factorization of 80826

Prime factors of 80826 are 2, 3, 19, 709. Prime factorization of 80826 in exponential form is:

80826 = 21 × 31 × 191 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 80818 and 80826.

LCM(80818,80826) = 21 × 171 × 23771 × 31 × 191 × 7091
LCM(80818,80826) = 3266097834