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What is the Least Common Multiple of 97873 and 97881?

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 97873 and 97881 is 9579907113.

LCM(97873,97881) = 9579907113

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Least Common Multiple of 97873 and 97881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97873 and 97881, than apply into the LCM equation.

GCF(97873,97881) = 1
LCM(97873,97881) = ( 97873 × 97881) / 1
LCM(97873,97881) = 9579907113 / 1
LCM(97873,97881) = 9579907113

Least Common Multiple (LCM) of 97873 and 97881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97873 and 97881. First we will calculate the prime factors of 97873 and 97881.

Prime Factorization of 97873

Prime factors of 97873 are 97, 1009. Prime factorization of 97873 in exponential form is:

97873 = 971 × 10091

Prime Factorization of 97881

Prime factors of 97881 are 3, 7, 59, 79. Prime factorization of 97881 in exponential form is:

97881 = 31 × 71 × 591 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 97873 and 97881.

LCM(97873,97881) = 971 × 10091 × 31 × 71 × 591 × 791
LCM(97873,97881) = 9579907113