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What is the Least Common Multiple of 24511 and 24520?

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 24511 and 24520 is 601009720.

LCM(24511,24520) = 601009720

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Least Common Multiple of 24511 and 24520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24511 and 24520, than apply into the LCM equation.

GCF(24511,24520) = 1
LCM(24511,24520) = ( 24511 × 24520) / 1
LCM(24511,24520) = 601009720 / 1
LCM(24511,24520) = 601009720

Least Common Multiple (LCM) of 24511 and 24520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24511 and 24520. First we will calculate the prime factors of 24511 and 24520.

Prime Factorization of 24511

Prime factors of 24511 are 127, 193. Prime factorization of 24511 in exponential form is:

24511 = 1271 × 1931

Prime Factorization of 24520

Prime factors of 24520 are 2, 5, 613. Prime factorization of 24520 in exponential form is:

24520 = 23 × 51 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 24511 and 24520.

LCM(24511,24520) = 1271 × 1931 × 23 × 51 × 6131
LCM(24511,24520) = 601009720