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What is the Least Common Multiple of 84917 and 84937?

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 84917 and 84937 is 7212595229.

LCM(84917,84937) = 7212595229

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Least Common Multiple of 84917 and 84937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84917 and 84937, than apply into the LCM equation.

GCF(84917,84937) = 1
LCM(84917,84937) = ( 84917 × 84937) / 1
LCM(84917,84937) = 7212595229 / 1
LCM(84917,84937) = 7212595229

Least Common Multiple (LCM) of 84917 and 84937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84917 and 84937. First we will calculate the prime factors of 84917 and 84937.

Prime Factorization of 84917

Prime factors of 84917 are 7, 1733. Prime factorization of 84917 in exponential form is:

84917 = 72 × 17331

Prime Factorization of 84937

Prime factors of 84937 are 157, 541. Prime factorization of 84937 in exponential form is:

84937 = 1571 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 84917 and 84937.

LCM(84917,84937) = 72 × 17331 × 1571 × 5411
LCM(84917,84937) = 7212595229