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What is the Least Common Multiple of 95431 and 95441?

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 95431 and 95441 is 9108030071.

LCM(95431,95441) = 9108030071

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Least Common Multiple of 95431 and 95441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95431 and 95441, than apply into the LCM equation.

GCF(95431,95441) = 1
LCM(95431,95441) = ( 95431 × 95441) / 1
LCM(95431,95441) = 9108030071 / 1
LCM(95431,95441) = 9108030071

Least Common Multiple (LCM) of 95431 and 95441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95431 and 95441. First we will calculate the prime factors of 95431 and 95441.

Prime Factorization of 95431

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

95431 = 71 × 136331

Prime Factorization of 95441

Prime factors of 95441 are 95441. Prime factorization of 95441 in exponential form is:

95441 = 954411

Now multiplying the highest exponent prime factors to calculate the LCM of 95431 and 95441.

LCM(95431,95441) = 71 × 136331 × 954411
LCM(95431,95441) = 9108030071