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What is the Least Common Multiple of 95030 and 95036?

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 95030 and 95036 is 4515635540.

LCM(95030,95036) = 4515635540

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Least Common Multiple of 95030 and 95036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95030 and 95036, than apply into the LCM equation.

GCF(95030,95036) = 2
LCM(95030,95036) = ( 95030 × 95036) / 2
LCM(95030,95036) = 9031271080 / 2
LCM(95030,95036) = 4515635540

Least Common Multiple (LCM) of 95030 and 95036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95030 and 95036. First we will calculate the prime factors of 95030 and 95036.

Prime Factorization of 95030

Prime factors of 95030 are 2, 5, 13, 17, 43. Prime factorization of 95030 in exponential form is:

95030 = 21 × 51 × 131 × 171 × 431

Prime Factorization of 95036

Prime factors of 95036 are 2, 23, 1033. Prime factorization of 95036 in exponential form is:

95036 = 22 × 231 × 10331

Now multiplying the highest exponent prime factors to calculate the LCM of 95030 and 95036.

LCM(95030,95036) = 22 × 51 × 131 × 171 × 431 × 231 × 10331
LCM(95030,95036) = 4515635540