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What is the Least Common Multiple of 97375 and 97393?

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 97375 and 97393 is 9483643375.

LCM(97375,97393) = 9483643375

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Least Common Multiple of 97375 and 97393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97375 and 97393, than apply into the LCM equation.

GCF(97375,97393) = 1
LCM(97375,97393) = ( 97375 × 97393) / 1
LCM(97375,97393) = 9483643375 / 1
LCM(97375,97393) = 9483643375

Least Common Multiple (LCM) of 97375 and 97393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97375 and 97393. First we will calculate the prime factors of 97375 and 97393.

Prime Factorization of 97375

Prime factors of 97375 are 5, 19, 41. Prime factorization of 97375 in exponential form is:

97375 = 53 × 191 × 411

Prime Factorization of 97393

Prime factors of 97393 are 17, 337. Prime factorization of 97393 in exponential form is:

97393 = 172 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 97375 and 97393.

LCM(97375,97393) = 53 × 191 × 411 × 172 × 3371
LCM(97375,97393) = 9483643375