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What is the Least Common Multiple of 90841 and 90851?

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 90841 and 90851 is 8252995691.

LCM(90841,90851) = 8252995691

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Least Common Multiple of 90841 and 90851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90841 and 90851, than apply into the LCM equation.

GCF(90841,90851) = 1
LCM(90841,90851) = ( 90841 × 90851) / 1
LCM(90841,90851) = 8252995691 / 1
LCM(90841,90851) = 8252995691

Least Common Multiple (LCM) of 90841 and 90851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90841 and 90851. First we will calculate the prime factors of 90841 and 90851.

Prime Factorization of 90841

Prime factors of 90841 are 90841. Prime factorization of 90841 in exponential form is:

90841 = 908411

Prime Factorization of 90851

Prime factors of 90851 are 47, 1933. Prime factorization of 90851 in exponential form is:

90851 = 471 × 19331

Now multiplying the highest exponent prime factors to calculate the LCM of 90841 and 90851.

LCM(90841,90851) = 908411 × 471 × 19331
LCM(90841,90851) = 8252995691