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What is the Least Common Multiple of 80818 and 80824?

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 80824 is 3266017016.

LCM(80818,80824) = 3266017016

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Least Common Multiple of 80818 and 80824 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 80824, than apply into the LCM equation.

GCF(80818,80824) = 2
LCM(80818,80824) = ( 80818 × 80824) / 2
LCM(80818,80824) = 6532034032 / 2
LCM(80818,80824) = 3266017016

Least Common Multiple (LCM) of 80818 and 80824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80818 and 80824. First we will calculate the prime factors of 80818 and 80824.

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 80824

Prime factors of 80824 are 2, 10103. Prime factorization of 80824 in exponential form is:

80824 = 23 × 101031

Now multiplying the highest exponent prime factors to calculate the LCM of 80818 and 80824.

LCM(80818,80824) = 23 × 171 × 23771 × 101031
LCM(80818,80824) = 3266017016