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What is the Least Common Multiple of 32845 and 32853?

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 32845 and 32853 is 1079056785.

LCM(32845,32853) = 1079056785

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Least Common Multiple of 32845 and 32853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32845 and 32853, than apply into the LCM equation.

GCF(32845,32853) = 1
LCM(32845,32853) = ( 32845 × 32853) / 1
LCM(32845,32853) = 1079056785 / 1
LCM(32845,32853) = 1079056785

Least Common Multiple (LCM) of 32845 and 32853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32845 and 32853. First we will calculate the prime factors of 32845 and 32853.

Prime Factorization of 32845

Prime factors of 32845 are 5, 6569. Prime factorization of 32845 in exponential form is:

32845 = 51 × 65691

Prime Factorization of 32853

Prime factors of 32853 are 3, 47, 233. Prime factorization of 32853 in exponential form is:

32853 = 31 × 471 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 32845 and 32853.

LCM(32845,32853) = 51 × 65691 × 31 × 471 × 2331
LCM(32845,32853) = 1079056785