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What is the Least Common Multiple of 81539 and 81551?

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 81539 and 81551 is 6649586989.

LCM(81539,81551) = 6649586989

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Least Common Multiple of 81539 and 81551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81539 and 81551, than apply into the LCM equation.

GCF(81539,81551) = 1
LCM(81539,81551) = ( 81539 × 81551) / 1
LCM(81539,81551) = 6649586989 / 1
LCM(81539,81551) = 6649586989

Least Common Multiple (LCM) of 81539 and 81551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81539 and 81551. First we will calculate the prime factors of 81539 and 81551.

Prime Factorization of 81539

Prime factors of 81539 are 67, 1217. Prime factorization of 81539 in exponential form is:

81539 = 671 × 12171

Prime Factorization of 81551

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

81551 = 815511

Now multiplying the highest exponent prime factors to calculate the LCM of 81539 and 81551.

LCM(81539,81551) = 671 × 12171 × 815511
LCM(81539,81551) = 6649586989