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What is the Least Common Multiple of 95453 and 95461?

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 95461 is 9112038833.

LCM(95453,95461) = 9112038833

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Least Common Multiple of 95453 and 95461 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 95461, than apply into the LCM equation.

GCF(95453,95461) = 1
LCM(95453,95461) = ( 95453 × 95461) / 1
LCM(95453,95461) = 9112038833 / 1
LCM(95453,95461) = 9112038833

Least Common Multiple (LCM) of 95453 and 95461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95453 and 95461. First we will calculate the prime factors of 95453 and 95461.

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 95461

Prime factors of 95461 are 95461. Prime factorization of 95461 in exponential form is:

95461 = 954611

Now multiplying the highest exponent prime factors to calculate the LCM of 95453 and 95461.

LCM(95453,95461) = 531 × 18011 × 954611
LCM(95453,95461) = 9112038833