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What is the Least Common Multiple of 99401 and 99405?

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 99401 and 99405 is 9880956405.

LCM(99401,99405) = 9880956405

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Least Common Multiple of 99401 and 99405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99401 and 99405, than apply into the LCM equation.

GCF(99401,99405) = 1
LCM(99401,99405) = ( 99401 × 99405) / 1
LCM(99401,99405) = 9880956405 / 1
LCM(99401,99405) = 9880956405

Least Common Multiple (LCM) of 99401 and 99405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99401 and 99405. First we will calculate the prime factors of 99401 and 99405.

Prime Factorization of 99401

Prime factors of 99401 are 99401. Prime factorization of 99401 in exponential form is:

99401 = 994011

Prime Factorization of 99405

Prime factors of 99405 are 3, 5, 47. Prime factorization of 99405 in exponential form is:

99405 = 32 × 51 × 472

Now multiplying the highest exponent prime factors to calculate the LCM of 99401 and 99405.

LCM(99401,99405) = 994011 × 32 × 51 × 472
LCM(99401,99405) = 9880956405