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What is the Least Common Multiple of 34897 and 34901?

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 34897 and 34901 is 1217940197.

LCM(34897,34901) = 1217940197

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Least Common Multiple of 34897 and 34901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34897 and 34901, than apply into the LCM equation.

GCF(34897,34901) = 1
LCM(34897,34901) = ( 34897 × 34901) / 1
LCM(34897,34901) = 1217940197 / 1
LCM(34897,34901) = 1217940197

Least Common Multiple (LCM) of 34897 and 34901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34897 and 34901. First we will calculate the prime factors of 34897 and 34901.

Prime Factorization of 34897

Prime factors of 34897 are 34897. Prime factorization of 34897 in exponential form is:

34897 = 348971

Prime Factorization of 34901

Prime factors of 34901 are 17, 2053. Prime factorization of 34901 in exponential form is:

34901 = 171 × 20531

Now multiplying the highest exponent prime factors to calculate the LCM of 34897 and 34901.

LCM(34897,34901) = 348971 × 171 × 20531
LCM(34897,34901) = 1217940197