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What is the Least Common Multiple of 95332 and 95343?

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 95332 and 95343 is 9089238876.

LCM(95332,95343) = 9089238876

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Least Common Multiple of 95332 and 95343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95332 and 95343, than apply into the LCM equation.

GCF(95332,95343) = 1
LCM(95332,95343) = ( 95332 × 95343) / 1
LCM(95332,95343) = 9089238876 / 1
LCM(95332,95343) = 9089238876

Least Common Multiple (LCM) of 95332 and 95343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95332 and 95343. First we will calculate the prime factors of 95332 and 95343.

Prime Factorization of 95332

Prime factors of 95332 are 2, 23833. Prime factorization of 95332 in exponential form is:

95332 = 22 × 238331

Prime Factorization of 95343

Prime factors of 95343 are 3, 61, 521. Prime factorization of 95343 in exponential form is:

95343 = 31 × 611 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 95332 and 95343.

LCM(95332,95343) = 22 × 238331 × 31 × 611 × 5211
LCM(95332,95343) = 9089238876