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What is the Least Common Multiple of 84442 and 84453?

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 84442 and 84453 is 7131380226.

LCM(84442,84453) = 7131380226

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Least Common Multiple of 84442 and 84453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84442 and 84453, than apply into the LCM equation.

GCF(84442,84453) = 1
LCM(84442,84453) = ( 84442 × 84453) / 1
LCM(84442,84453) = 7131380226 / 1
LCM(84442,84453) = 7131380226

Least Common Multiple (LCM) of 84442 and 84453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84442 and 84453. First we will calculate the prime factors of 84442 and 84453.

Prime Factorization of 84442

Prime factors of 84442 are 2, 42221. Prime factorization of 84442 in exponential form is:

84442 = 21 × 422211

Prime Factorization of 84453

Prime factors of 84453 are 3, 28151. Prime factorization of 84453 in exponential form is:

84453 = 31 × 281511

Now multiplying the highest exponent prime factors to calculate the LCM of 84442 and 84453.

LCM(84442,84453) = 21 × 422211 × 31 × 281511
LCM(84442,84453) = 7131380226