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What is the Least Common Multiple of 95444 and 95453?

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 95444 and 95453 is 9110416132.

LCM(95444,95453) = 9110416132

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Least Common Multiple of 95444 and 95453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95444 and 95453, than apply into the LCM equation.

GCF(95444,95453) = 1
LCM(95444,95453) = ( 95444 × 95453) / 1
LCM(95444,95453) = 9110416132 / 1
LCM(95444,95453) = 9110416132

Least Common Multiple (LCM) of 95444 and 95453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95444 and 95453. First we will calculate the prime factors of 95444 and 95453.

Prime Factorization of 95444

Prime factors of 95444 are 2, 107, 223. Prime factorization of 95444 in exponential form is:

95444 = 22 × 1071 × 2231

Prime Factorization of 95453

Prime factors of 95453 are 53, 1801. Prime factorization of 95453 in exponential form is:

95453 = 531 × 18011

Now multiplying the highest exponent prime factors to calculate the LCM of 95444 and 95453.

LCM(95444,95453) = 22 × 1071 × 2231 × 531 × 18011
LCM(95444,95453) = 9110416132