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What is the Least Common Multiple of 81551 and 81563?

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 81551 and 81563 is 6651544213.

LCM(81551,81563) = 6651544213

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Least Common Multiple of 81551 and 81563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81551 and 81563, than apply into the LCM equation.

GCF(81551,81563) = 1
LCM(81551,81563) = ( 81551 × 81563) / 1
LCM(81551,81563) = 6651544213 / 1
LCM(81551,81563) = 6651544213

Least Common Multiple (LCM) of 81551 and 81563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81551 and 81563. First we will calculate the prime factors of 81551 and 81563.

Prime Factorization of 81551

Prime factors of 81551 are 81551. Prime factorization of 81551 in exponential form is:

81551 = 815511

Prime Factorization of 81563

Prime factors of 81563 are 81563. Prime factorization of 81563 in exponential form is:

81563 = 815631

Now multiplying the highest exponent prime factors to calculate the LCM of 81551 and 81563.

LCM(81551,81563) = 815511 × 815631
LCM(81551,81563) = 6651544213