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What is the Least Common Multiple of 97333 and 97337?

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 97333 and 97337 is 9474102221.

LCM(97333,97337) = 9474102221

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Least Common Multiple of 97333 and 97337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97333 and 97337, than apply into the LCM equation.

GCF(97333,97337) = 1
LCM(97333,97337) = ( 97333 × 97337) / 1
LCM(97333,97337) = 9474102221 / 1
LCM(97333,97337) = 9474102221

Least Common Multiple (LCM) of 97333 and 97337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97333 and 97337. First we will calculate the prime factors of 97333 and 97337.

Prime Factorization of 97333

Prime factors of 97333 are 131, 743. Prime factorization of 97333 in exponential form is:

97333 = 1311 × 7431

Prime Factorization of 97337

Prime factors of 97337 are 19, 47, 109. Prime factorization of 97337 in exponential form is:

97337 = 191 × 471 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 97333 and 97337.

LCM(97333,97337) = 1311 × 7431 × 191 × 471 × 1091
LCM(97333,97337) = 9474102221