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What is the Least Common Multiple of 24911 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 24911 and 24927 is 620956497.

LCM(24911,24927) = 620956497

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Least Common Multiple of 24911 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 24911 and 24927, than apply into the LCM equation.

GCF(24911,24927) = 1
LCM(24911,24927) = ( 24911 × 24927) / 1
LCM(24911,24927) = 620956497 / 1
LCM(24911,24927) = 620956497

Least Common Multiple (LCM) of 24911 and 24927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24911 and 24927. First we will calculate the prime factors of 24911 and 24927.

Prime Factorization of 24911

Prime factors of 24911 are 29, 859. Prime factorization of 24911 in exponential form is:

24911 = 291 × 8591

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 24911 and 24927.

LCM(24911,24927) = 291 × 8591 × 31 × 71 × 11871
LCM(24911,24927) = 620956497