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What is the Least Common Multiple of 95453 and 95471?

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 95453 and 95471 is 9112993363.

LCM(95453,95471) = 9112993363

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Least Common Multiple of 95453 and 95471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95453 and 95471, than apply into the LCM equation.

GCF(95453,95471) = 1
LCM(95453,95471) = ( 95453 × 95471) / 1
LCM(95453,95471) = 9112993363 / 1
LCM(95453,95471) = 9112993363

Least Common Multiple (LCM) of 95453 and 95471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95453 and 95471. First we will calculate the prime factors of 95453 and 95471.

Prime Factorization of 95453

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

95453 = 531 × 18011

Prime Factorization of 95471

Prime factors of 95471 are 95471. Prime factorization of 95471 in exponential form is:

95471 = 954711

Now multiplying the highest exponent prime factors to calculate the LCM of 95453 and 95471.

LCM(95453,95471) = 531 × 18011 × 954711
LCM(95453,95471) = 9112993363