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What is the Least Common Multiple of 80833 and 80844?

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 80833 and 80844 is 6534863052.

LCM(80833,80844) = 6534863052

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Least Common Multiple of 80833 and 80844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80833 and 80844, than apply into the LCM equation.

GCF(80833,80844) = 1
LCM(80833,80844) = ( 80833 × 80844) / 1
LCM(80833,80844) = 6534863052 / 1
LCM(80833,80844) = 6534863052

Least Common Multiple (LCM) of 80833 and 80844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80833 and 80844. First we will calculate the prime factors of 80833 and 80844.

Prime Factorization of 80833

Prime factors of 80833 are 80833. Prime factorization of 80833 in exponential form is:

80833 = 808331

Prime Factorization of 80844

Prime factors of 80844 are 2, 3, 6737. Prime factorization of 80844 in exponential form is:

80844 = 22 × 31 × 67371

Now multiplying the highest exponent prime factors to calculate the LCM of 80833 and 80844.

LCM(80833,80844) = 808331 × 22 × 31 × 67371
LCM(80833,80844) = 6534863052