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What is the Least Common Multiple of 97235 and 97239?

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 97235 and 97239 is 9455034165.

LCM(97235,97239) = 9455034165

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Least Common Multiple of 97235 and 97239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97235 and 97239, than apply into the LCM equation.

GCF(97235,97239) = 1
LCM(97235,97239) = ( 97235 × 97239) / 1
LCM(97235,97239) = 9455034165 / 1
LCM(97235,97239) = 9455034165

Least Common Multiple (LCM) of 97235 and 97239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97235 and 97239. First we will calculate the prime factors of 97235 and 97239.

Prime Factorization of 97235

Prime factors of 97235 are 5, 19447. Prime factorization of 97235 in exponential form is:

97235 = 51 × 194471

Prime Factorization of 97239

Prime factors of 97239 are 3, 32413. Prime factorization of 97239 in exponential form is:

97239 = 31 × 324131

Now multiplying the highest exponent prime factors to calculate the LCM of 97235 and 97239.

LCM(97235,97239) = 51 × 194471 × 31 × 324131
LCM(97235,97239) = 9455034165