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What is the Least Common Multiple of 95024 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 95024 and 95042 is 4515635504.

LCM(95024,95042) = 4515635504

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Least Common Multiple of 95024 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 95024 and 95042, than apply into the LCM equation.

GCF(95024,95042) = 2
LCM(95024,95042) = ( 95024 × 95042) / 2
LCM(95024,95042) = 9031271008 / 2
LCM(95024,95042) = 4515635504

Least Common Multiple (LCM) of 95024 and 95042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95024 and 95042. First we will calculate the prime factors of 95024 and 95042.

Prime Factorization of 95024

Prime factors of 95024 are 2, 5939. Prime factorization of 95024 in exponential form is:

95024 = 24 × 59391

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 95024 and 95042.

LCM(95024,95042) = 24 × 59391 × 475211
LCM(95024,95042) = 4515635504