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What is the Least Common Multiple of 95613 and 95633?

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 95613 and 95633 is 9143758029.

LCM(95613,95633) = 9143758029

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Least Common Multiple of 95613 and 95633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95613 and 95633, than apply into the LCM equation.

GCF(95613,95633) = 1
LCM(95613,95633) = ( 95613 × 95633) / 1
LCM(95613,95633) = 9143758029 / 1
LCM(95613,95633) = 9143758029

Least Common Multiple (LCM) of 95613 and 95633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95613 and 95633. First we will calculate the prime factors of 95613 and 95633.

Prime Factorization of 95613

Prime factors of 95613 are 3, 7, 29, 157. Prime factorization of 95613 in exponential form is:

95613 = 31 × 71 × 291 × 1571

Prime Factorization of 95633

Prime factors of 95633 are 95633. Prime factorization of 95633 in exponential form is:

95633 = 956331

Now multiplying the highest exponent prime factors to calculate the LCM of 95613 and 95633.

LCM(95613,95633) = 31 × 71 × 291 × 1571 × 956331
LCM(95613,95633) = 9143758029