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What is the Least Common Multiple of 95573 and 95582?

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 95573 and 95582 is 9135058486.

LCM(95573,95582) = 9135058486

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Least Common Multiple of 95573 and 95582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95573 and 95582, than apply into the LCM equation.

GCF(95573,95582) = 1
LCM(95573,95582) = ( 95573 × 95582) / 1
LCM(95573,95582) = 9135058486 / 1
LCM(95573,95582) = 9135058486

Least Common Multiple (LCM) of 95573 and 95582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95573 and 95582. First we will calculate the prime factors of 95573 and 95582.

Prime Factorization of 95573

Prime factors of 95573 are 31, 3083. Prime factorization of 95573 in exponential form is:

95573 = 311 × 30831

Prime Factorization of 95582

Prime factors of 95582 are 2, 47791. Prime factorization of 95582 in exponential form is:

95582 = 21 × 477911

Now multiplying the highest exponent prime factors to calculate the LCM of 95573 and 95582.

LCM(95573,95582) = 311 × 30831 × 21 × 477911
LCM(95573,95582) = 9135058486