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What is the Least Common Multiple of 95102 and 95112?

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 95102 and 95112 is 4522670712.

LCM(95102,95112) = 4522670712

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Least Common Multiple of 95102 and 95112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95102 and 95112, than apply into the LCM equation.

GCF(95102,95112) = 2
LCM(95102,95112) = ( 95102 × 95112) / 2
LCM(95102,95112) = 9045341424 / 2
LCM(95102,95112) = 4522670712

Least Common Multiple (LCM) of 95102 and 95112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95102 and 95112. First we will calculate the prime factors of 95102 and 95112.

Prime Factorization of 95102

Prime factors of 95102 are 2, 7, 6793. Prime factorization of 95102 in exponential form is:

95102 = 21 × 71 × 67931

Prime Factorization of 95112

Prime factors of 95112 are 2, 3, 1321. Prime factorization of 95112 in exponential form is:

95112 = 23 × 32 × 13211

Now multiplying the highest exponent prime factors to calculate the LCM of 95102 and 95112.

LCM(95102,95112) = 23 × 71 × 67931 × 32 × 13211
LCM(95102,95112) = 4522670712