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What is the Least Common Multiple of 80806 and 80818?

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 80806 and 80818 is 3265289654.

LCM(80806,80818) = 3265289654

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Least Common Multiple of 80806 and 80818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80806 and 80818, than apply into the LCM equation.

GCF(80806,80818) = 2
LCM(80806,80818) = ( 80806 × 80818) / 2
LCM(80806,80818) = 6530579308 / 2
LCM(80806,80818) = 3265289654

Least Common Multiple (LCM) of 80806 and 80818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80806 and 80818. First we will calculate the prime factors of 80806 and 80818.

Prime Factorization of 80806

Prime factors of 80806 are 2, 11, 3673. Prime factorization of 80806 in exponential form is:

80806 = 21 × 111 × 36731

Prime Factorization of 80818

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

80818 = 21 × 171 × 23771

Now multiplying the highest exponent prime factors to calculate the LCM of 80806 and 80818.

LCM(80806,80818) = 21 × 111 × 36731 × 171 × 23771
LCM(80806,80818) = 3265289654