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What is the Least Common Multiple of 95471 and 95482?

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 95471 and 95482 is 9115762022.

LCM(95471,95482) = 9115762022

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Least Common Multiple of 95471 and 95482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95471 and 95482, than apply into the LCM equation.

GCF(95471,95482) = 1
LCM(95471,95482) = ( 95471 × 95482) / 1
LCM(95471,95482) = 9115762022 / 1
LCM(95471,95482) = 9115762022

Least Common Multiple (LCM) of 95471 and 95482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95471 and 95482. First we will calculate the prime factors of 95471 and 95482.

Prime Factorization of 95471

Prime factors of 95471 are 95471. Prime factorization of 95471 in exponential form is:

95471 = 954711

Prime Factorization of 95482

Prime factors of 95482 are 2, 47741. Prime factorization of 95482 in exponential form is:

95482 = 21 × 477411

Now multiplying the highest exponent prime factors to calculate the LCM of 95471 and 95482.

LCM(95471,95482) = 954711 × 21 × 477411
LCM(95471,95482) = 9115762022