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What is the Least Common Multiple of 95411 and 95431?

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 95411 and 95431 is 9105167141.

LCM(95411,95431) = 9105167141

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Least Common Multiple of 95411 and 95431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95411 and 95431, than apply into the LCM equation.

GCF(95411,95431) = 1
LCM(95411,95431) = ( 95411 × 95431) / 1
LCM(95411,95431) = 9105167141 / 1
LCM(95411,95431) = 9105167141

Least Common Multiple (LCM) of 95411 and 95431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95411 and 95431. First we will calculate the prime factors of 95411 and 95431.

Prime Factorization of 95411

Prime factors of 95411 are 73, 1307. Prime factorization of 95411 in exponential form is:

95411 = 731 × 13071

Prime Factorization of 95431

Prime factors of 95431 are 7, 13633. Prime factorization of 95431 in exponential form is:

95431 = 71 × 136331

Now multiplying the highest exponent prime factors to calculate the LCM of 95411 and 95431.

LCM(95411,95431) = 731 × 13071 × 71 × 136331
LCM(95411,95431) = 9105167141