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What is the Least Common Multiple of 97877 and 97897?

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 97877 and 97897 is 9581864669.

LCM(97877,97897) = 9581864669

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Least Common Multiple of 97877 and 97897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97877 and 97897, than apply into the LCM equation.

GCF(97877,97897) = 1
LCM(97877,97897) = ( 97877 × 97897) / 1
LCM(97877,97897) = 9581864669 / 1
LCM(97877,97897) = 9581864669

Least Common Multiple (LCM) of 97877 and 97897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97877 and 97897. First we will calculate the prime factors of 97877 and 97897.

Prime Factorization of 97877

Prime factors of 97877 are 13, 7529. Prime factorization of 97877 in exponential form is:

97877 = 131 × 75291

Prime Factorization of 97897

Prime factors of 97897 are 223, 439. Prime factorization of 97897 in exponential form is:

97897 = 2231 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 97877 and 97897.

LCM(97877,97897) = 131 × 75291 × 2231 × 4391
LCM(97877,97897) = 9581864669