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What is the Least Common Multiple of 80841 and 80852?

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 80841 and 80852 is 6536156532.

LCM(80841,80852) = 6536156532

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Least Common Multiple of 80841 and 80852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80841 and 80852, than apply into the LCM equation.

GCF(80841,80852) = 1
LCM(80841,80852) = ( 80841 × 80852) / 1
LCM(80841,80852) = 6536156532 / 1
LCM(80841,80852) = 6536156532

Least Common Multiple (LCM) of 80841 and 80852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80841 and 80852. First we will calculate the prime factors of 80841 and 80852.

Prime Factorization of 80841

Prime factors of 80841 are 3, 26947. Prime factorization of 80841 in exponential form is:

80841 = 31 × 269471

Prime Factorization of 80852

Prime factors of 80852 are 2, 17, 29, 41. Prime factorization of 80852 in exponential form is:

80852 = 22 × 171 × 291 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 80841 and 80852.

LCM(80841,80852) = 31 × 269471 × 22 × 171 × 291 × 411
LCM(80841,80852) = 6536156532