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What is the Least Common Multiple of 95070 and 95082?

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 95070 and 95082 is 1506574290.

LCM(95070,95082) = 1506574290

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Least Common Multiple of 95070 and 95082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95070 and 95082, than apply into the LCM equation.

GCF(95070,95082) = 6
LCM(95070,95082) = ( 95070 × 95082) / 6
LCM(95070,95082) = 9039445740 / 6
LCM(95070,95082) = 1506574290

Least Common Multiple (LCM) of 95070 and 95082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95070 and 95082. First we will calculate the prime factors of 95070 and 95082.

Prime Factorization of 95070

Prime factors of 95070 are 2, 3, 5, 3169. Prime factorization of 95070 in exponential form is:

95070 = 21 × 31 × 51 × 31691

Prime Factorization of 95082

Prime factors of 95082 are 2, 3, 13, 23, 53. Prime factorization of 95082 in exponential form is:

95082 = 21 × 31 × 131 × 231 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 95070 and 95082.

LCM(95070,95082) = 21 × 31 × 51 × 31691 × 131 × 231 × 531
LCM(95070,95082) = 1506574290