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What is the Least Common Multiple of 81857 and 81863?

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 81857 and 81863 is 6701059591.

LCM(81857,81863) = 6701059591

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Least Common Multiple of 81857 and 81863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81857 and 81863, than apply into the LCM equation.

GCF(81857,81863) = 1
LCM(81857,81863) = ( 81857 × 81863) / 1
LCM(81857,81863) = 6701059591 / 1
LCM(81857,81863) = 6701059591

Least Common Multiple (LCM) of 81857 and 81863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81857 and 81863. First we will calculate the prime factors of 81857 and 81863.

Prime Factorization of 81857

Prime factors of 81857 are 23, 3559. Prime factorization of 81857 in exponential form is:

81857 = 231 × 35591

Prime Factorization of 81863

Prime factors of 81863 are 71, 1153. Prime factorization of 81863 in exponential form is:

81863 = 711 × 11531

Now multiplying the highest exponent prime factors to calculate the LCM of 81857 and 81863.

LCM(81857,81863) = 231 × 35591 × 711 × 11531
LCM(81857,81863) = 6701059591