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What is the Least Common Multiple of 95470 and 95487?

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 95470 and 95487 is 9116143890.

LCM(95470,95487) = 9116143890

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Least Common Multiple of 95470 and 95487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95470 and 95487, than apply into the LCM equation.

GCF(95470,95487) = 1
LCM(95470,95487) = ( 95470 × 95487) / 1
LCM(95470,95487) = 9116143890 / 1
LCM(95470,95487) = 9116143890

Least Common Multiple (LCM) of 95470 and 95487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95470 and 95487. First we will calculate the prime factors of 95470 and 95487.

Prime Factorization of 95470

Prime factors of 95470 are 2, 5, 9547. Prime factorization of 95470 in exponential form is:

95470 = 21 × 51 × 95471

Prime Factorization of 95487

Prime factors of 95487 are 3, 7, 4547. Prime factorization of 95487 in exponential form is:

95487 = 31 × 71 × 45471

Now multiplying the highest exponent prime factors to calculate the LCM of 95470 and 95487.

LCM(95470,95487) = 21 × 51 × 95471 × 31 × 71 × 45471
LCM(95470,95487) = 9116143890