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What is the Least Common Multiple of 90841 and 90853?

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 90853 is 8253177373.

LCM(90841,90853) = 8253177373

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Least Common Multiple of 90841 and 90853 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 90853, than apply into the LCM equation.

GCF(90841,90853) = 1
LCM(90841,90853) = ( 90841 × 90853) / 1
LCM(90841,90853) = 8253177373 / 1
LCM(90841,90853) = 8253177373

Least Common Multiple (LCM) of 90841 and 90853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90841 and 90853. First we will calculate the prime factors of 90841 and 90853.

Prime Factorization of 90841

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

90841 = 908411

Prime Factorization of 90853

Prime factors of 90853 are 7, 12979. Prime factorization of 90853 in exponential form is:

90853 = 71 × 129791

Now multiplying the highest exponent prime factors to calculate the LCM of 90841 and 90853.

LCM(90841,90853) = 908411 × 71 × 129791
LCM(90841,90853) = 8253177373