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What is the Least Common Multiple of 81542 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 81542 and 81551 is 6649831642.

LCM(81542,81551) = 6649831642

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Least Common Multiple of 81542 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 81542 and 81551, than apply into the LCM equation.

GCF(81542,81551) = 1
LCM(81542,81551) = ( 81542 × 81551) / 1
LCM(81542,81551) = 6649831642 / 1
LCM(81542,81551) = 6649831642

Least Common Multiple (LCM) of 81542 and 81551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81542 and 81551. First we will calculate the prime factors of 81542 and 81551.

Prime Factorization of 81542

Prime factors of 81542 are 2, 40771. Prime factorization of 81542 in exponential form is:

81542 = 21 × 407711

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 81542 and 81551.

LCM(81542,81551) = 21 × 407711 × 815511
LCM(81542,81551) = 6649831642