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What is the Least Common Multiple of 99401 and 99407?

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 99407 is 9881155207.

LCM(99401,99407) = 9881155207

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Least Common Multiple of 99401 and 99407 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 99407, than apply into the LCM equation.

GCF(99401,99407) = 1
LCM(99401,99407) = ( 99401 × 99407) / 1
LCM(99401,99407) = 9881155207 / 1
LCM(99401,99407) = 9881155207

Least Common Multiple (LCM) of 99401 and 99407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99401 and 99407. First we will calculate the prime factors of 99401 and 99407.

Prime Factorization of 99401

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

99401 = 994011

Prime Factorization of 99407

Prime factors of 99407 are 7, 11, 1291. Prime factorization of 99407 in exponential form is:

99407 = 71 × 111 × 12911

Now multiplying the highest exponent prime factors to calculate the LCM of 99401 and 99407.

LCM(99401,99407) = 994011 × 71 × 111 × 12911
LCM(99401,99407) = 9881155207