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What is the Least Common Multiple of 24923 and 24927?

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 24923 and 24927 is 621255621.

LCM(24923,24927) = 621255621

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Least Common Multiple of 24923 and 24927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24923 and 24927, than apply into the LCM equation.

GCF(24923,24927) = 1
LCM(24923,24927) = ( 24923 × 24927) / 1
LCM(24923,24927) = 621255621 / 1
LCM(24923,24927) = 621255621

Least Common Multiple (LCM) of 24923 and 24927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24923 and 24927. First we will calculate the prime factors of 24923 and 24927.

Prime Factorization of 24923

Prime factors of 24923 are 24923. Prime factorization of 24923 in exponential form is:

24923 = 249231

Prime Factorization of 24927

Prime factors of 24927 are 3, 7, 1187. Prime factorization of 24927 in exponential form is:

24927 = 31 × 71 × 11871

Now multiplying the highest exponent prime factors to calculate the LCM of 24923 and 24927.

LCM(24923,24927) = 249231 × 31 × 71 × 11871
LCM(24923,24927) = 621255621