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What is the Least Common Multiple of 97921 and 97934?

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 97921 and 97934 is 9589795214.

LCM(97921,97934) = 9589795214

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Least Common Multiple of 97921 and 97934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97921 and 97934, than apply into the LCM equation.

GCF(97921,97934) = 1
LCM(97921,97934) = ( 97921 × 97934) / 1
LCM(97921,97934) = 9589795214 / 1
LCM(97921,97934) = 9589795214

Least Common Multiple (LCM) of 97921 and 97934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97921 and 97934. First we will calculate the prime factors of 97921 and 97934.

Prime Factorization of 97921

Prime factors of 97921 are 181, 541. Prime factorization of 97921 in exponential form is:

97921 = 1811 × 5411

Prime Factorization of 97934

Prime factors of 97934 are 2, 23, 2129. Prime factorization of 97934 in exponential form is:

97934 = 21 × 231 × 21291

Now multiplying the highest exponent prime factors to calculate the LCM of 97921 and 97934.

LCM(97921,97934) = 1811 × 5411 × 21 × 231 × 21291
LCM(97921,97934) = 9589795214