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What is the Least Common Multiple of 23811 and 23818?

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 23811 and 23818 is 567130398.

LCM(23811,23818) = 567130398

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Least Common Multiple of 23811 and 23818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23811 and 23818, than apply into the LCM equation.

GCF(23811,23818) = 1
LCM(23811,23818) = ( 23811 × 23818) / 1
LCM(23811,23818) = 567130398 / 1
LCM(23811,23818) = 567130398

Least Common Multiple (LCM) of 23811 and 23818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23811 and 23818. First we will calculate the prime factors of 23811 and 23818.

Prime Factorization of 23811

Prime factors of 23811 are 3, 7937. Prime factorization of 23811 in exponential form is:

23811 = 31 × 79371

Prime Factorization of 23818

Prime factors of 23818 are 2, 11909. Prime factorization of 23818 in exponential form is:

23818 = 21 × 119091

Now multiplying the highest exponent prime factors to calculate the LCM of 23811 and 23818.

LCM(23811,23818) = 31 × 79371 × 21 × 119091
LCM(23811,23818) = 567130398