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What is the Least Common Multiple of 95036 and 95042?

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 95036 and 95042 is 4516205756.

LCM(95036,95042) = 4516205756

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Least Common Multiple of 95036 and 95042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95036 and 95042, than apply into the LCM equation.

GCF(95036,95042) = 2
LCM(95036,95042) = ( 95036 × 95042) / 2
LCM(95036,95042) = 9032411512 / 2
LCM(95036,95042) = 4516205756

Least Common Multiple (LCM) of 95036 and 95042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95036 and 95042. First we will calculate the prime factors of 95036 and 95042.

Prime Factorization of 95036

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

95036 = 22 × 231 × 10331

Prime Factorization of 95042

Prime factors of 95042 are 2, 47521. Prime factorization of 95042 in exponential form is:

95042 = 21 × 475211

Now multiplying the highest exponent prime factors to calculate the LCM of 95036 and 95042.

LCM(95036,95042) = 22 × 231 × 10331 × 475211
LCM(95036,95042) = 4516205756