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What is the Least Common Multiple of 84191 and 84211?

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 84191 and 84211 is 7089808301.

LCM(84191,84211) = 7089808301

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Least Common Multiple of 84191 and 84211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84191 and 84211, than apply into the LCM equation.

GCF(84191,84211) = 1
LCM(84191,84211) = ( 84191 × 84211) / 1
LCM(84191,84211) = 7089808301 / 1
LCM(84191,84211) = 7089808301

Least Common Multiple (LCM) of 84191 and 84211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84191 and 84211. First we will calculate the prime factors of 84191 and 84211.

Prime Factorization of 84191

Prime factors of 84191 are 84191. Prime factorization of 84191 in exponential form is:

84191 = 841911

Prime Factorization of 84211

Prime factors of 84211 are 84211. Prime factorization of 84211 in exponential form is:

84211 = 842111

Now multiplying the highest exponent prime factors to calculate the LCM of 84191 and 84211.

LCM(84191,84211) = 841911 × 842111
LCM(84191,84211) = 7089808301