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What is the Least Common Multiple of 81551 and 81555?

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 81555 is 6650891805.

LCM(81551,81555) = 6650891805

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Least Common Multiple of 81551 and 81555 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 81555, than apply into the LCM equation.

GCF(81551,81555) = 1
LCM(81551,81555) = ( 81551 × 81555) / 1
LCM(81551,81555) = 6650891805 / 1
LCM(81551,81555) = 6650891805

Least Common Multiple (LCM) of 81551 and 81555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81551 and 81555. First we will calculate the prime factors of 81551 and 81555.

Prime Factorization of 81551

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

81551 = 815511

Prime Factorization of 81555

Prime factors of 81555 are 3, 5, 5437. Prime factorization of 81555 in exponential form is:

81555 = 31 × 51 × 54371

Now multiplying the highest exponent prime factors to calculate the LCM of 81551 and 81555.

LCM(81551,81555) = 815511 × 31 × 51 × 54371
LCM(81551,81555) = 6650891805