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What is the Least Common Multiple of 97893 and 97901?

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 97893 and 97901 is 9583822593.

LCM(97893,97901) = 9583822593

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Least Common Multiple of 97893 and 97901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97893 and 97901, than apply into the LCM equation.

GCF(97893,97901) = 1
LCM(97893,97901) = ( 97893 × 97901) / 1
LCM(97893,97901) = 9583822593 / 1
LCM(97893,97901) = 9583822593

Least Common Multiple (LCM) of 97893 and 97901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97893 and 97901. First we will calculate the prime factors of 97893 and 97901.

Prime Factorization of 97893

Prime factors of 97893 are 3, 73, 149. Prime factorization of 97893 in exponential form is:

97893 = 32 × 731 × 1491

Prime Factorization of 97901

Prime factors of 97901 are 47, 2083. Prime factorization of 97901 in exponential form is:

97901 = 471 × 20831

Now multiplying the highest exponent prime factors to calculate the LCM of 97893 and 97901.

LCM(97893,97901) = 32 × 731 × 1491 × 471 × 20831
LCM(97893,97901) = 9583822593