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What is the Least Common Multiple of 97833 and 97841?

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 97833 and 97841 is 9572078553.

LCM(97833,97841) = 9572078553

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Least Common Multiple of 97833 and 97841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97833 and 97841, than apply into the LCM equation.

GCF(97833,97841) = 1
LCM(97833,97841) = ( 97833 × 97841) / 1
LCM(97833,97841) = 9572078553 / 1
LCM(97833,97841) = 9572078553

Least Common Multiple (LCM) of 97833 and 97841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97833 and 97841. First we will calculate the prime factors of 97833 and 97841.

Prime Factorization of 97833

Prime factors of 97833 are 3, 32611. Prime factorization of 97833 in exponential form is:

97833 = 31 × 326111

Prime Factorization of 97841

Prime factors of 97841 are 97841. Prime factorization of 97841 in exponential form is:

97841 = 978411

Now multiplying the highest exponent prime factors to calculate the LCM of 97833 and 97841.

LCM(97833,97841) = 31 × 326111 × 978411
LCM(97833,97841) = 9572078553