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What is the Least Common Multiple of 84235 and 84244?

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 84235 and 84244 is 7096293340.

LCM(84235,84244) = 7096293340

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Least Common Multiple of 84235 and 84244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84235 and 84244, than apply into the LCM equation.

GCF(84235,84244) = 1
LCM(84235,84244) = ( 84235 × 84244) / 1
LCM(84235,84244) = 7096293340 / 1
LCM(84235,84244) = 7096293340

Least Common Multiple (LCM) of 84235 and 84244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84235 and 84244. First we will calculate the prime factors of 84235 and 84244.

Prime Factorization of 84235

Prime factors of 84235 are 5, 17, 991. Prime factorization of 84235 in exponential form is:

84235 = 51 × 171 × 9911

Prime Factorization of 84244

Prime factors of 84244 are 2, 21061. Prime factorization of 84244 in exponential form is:

84244 = 22 × 210611

Now multiplying the highest exponent prime factors to calculate the LCM of 84235 and 84244.

LCM(84235,84244) = 51 × 171 × 9911 × 22 × 210611
LCM(84235,84244) = 7096293340