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What is the Least Common Multiple of 23881 and 23901?

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 23881 and 23901 is 570779781.

LCM(23881,23901) = 570779781

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Least Common Multiple of 23881 and 23901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23881 and 23901, than apply into the LCM equation.

GCF(23881,23901) = 1
LCM(23881,23901) = ( 23881 × 23901) / 1
LCM(23881,23901) = 570779781 / 1
LCM(23881,23901) = 570779781

Least Common Multiple (LCM) of 23881 and 23901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23881 and 23901. First we will calculate the prime factors of 23881 and 23901.

Prime Factorization of 23881

Prime factors of 23881 are 11, 13, 167. Prime factorization of 23881 in exponential form is:

23881 = 111 × 131 × 1671

Prime Factorization of 23901

Prime factors of 23901 are 3, 31, 257. Prime factorization of 23901 in exponential form is:

23901 = 31 × 311 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 23881 and 23901.

LCM(23881,23901) = 111 × 131 × 1671 × 31 × 311 × 2571
LCM(23881,23901) = 570779781