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What is the Least Common Multiple of 95130 and 95143?

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 95130 and 95143 is 9050953590.

LCM(95130,95143) = 9050953590

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Least Common Multiple of 95130 and 95143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95130 and 95143, than apply into the LCM equation.

GCF(95130,95143) = 1
LCM(95130,95143) = ( 95130 × 95143) / 1
LCM(95130,95143) = 9050953590 / 1
LCM(95130,95143) = 9050953590

Least Common Multiple (LCM) of 95130 and 95143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95130 and 95143. First we will calculate the prime factors of 95130 and 95143.

Prime Factorization of 95130

Prime factors of 95130 are 2, 3, 5, 7, 151. Prime factorization of 95130 in exponential form is:

95130 = 21 × 32 × 51 × 71 × 1511

Prime Factorization of 95143

Prime factors of 95143 are 95143. Prime factorization of 95143 in exponential form is:

95143 = 951431

Now multiplying the highest exponent prime factors to calculate the LCM of 95130 and 95143.

LCM(95130,95143) = 21 × 32 × 51 × 71 × 1511 × 951431
LCM(95130,95143) = 9050953590