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What is the Least Common Multiple of 64843 and 64861?

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 64843 and 64861 is 4205781823.

LCM(64843,64861) = 4205781823

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Least Common Multiple of 64843 and 64861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64843 and 64861, than apply into the LCM equation.

GCF(64843,64861) = 1
LCM(64843,64861) = ( 64843 × 64861) / 1
LCM(64843,64861) = 4205781823 / 1
LCM(64843,64861) = 4205781823

Least Common Multiple (LCM) of 64843 and 64861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64843 and 64861. First we will calculate the prime factors of 64843 and 64861.

Prime Factorization of 64843

Prime factors of 64843 are 61, 1063. Prime factorization of 64843 in exponential form is:

64843 = 611 × 10631

Prime Factorization of 64861

Prime factors of 64861 are 37, 1753. Prime factorization of 64861 in exponential form is:

64861 = 371 × 17531

Now multiplying the highest exponent prime factors to calculate the LCM of 64843 and 64861.

LCM(64843,64861) = 611 × 10631 × 371 × 17531
LCM(64843,64861) = 4205781823