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What is the Least Common Multiple of 97403 and 97411?

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 97403 and 97411 is 9488123633.

LCM(97403,97411) = 9488123633

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Least Common Multiple of 97403 and 97411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97403 and 97411, than apply into the LCM equation.

GCF(97403,97411) = 1
LCM(97403,97411) = ( 97403 × 97411) / 1
LCM(97403,97411) = 9488123633 / 1
LCM(97403,97411) = 9488123633

Least Common Multiple (LCM) of 97403 and 97411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97403 and 97411. First we will calculate the prime factors of 97403 and 97411.

Prime Factorization of 97403

Prime factors of 97403 are 257, 379. Prime factorization of 97403 in exponential form is:

97403 = 2571 × 3791

Prime Factorization of 97411

Prime factors of 97411 are 29, 3359. Prime factorization of 97411 in exponential form is:

97411 = 291 × 33591

Now multiplying the highest exponent prime factors to calculate the LCM of 97403 and 97411.

LCM(97403,97411) = 2571 × 3791 × 291 × 33591
LCM(97403,97411) = 9488123633