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What is the Least Common Multiple of 24121 and 24137?

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 24121 and 24137 is 582208577.

LCM(24121,24137) = 582208577

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Least Common Multiple of 24121 and 24137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24121 and 24137, than apply into the LCM equation.

GCF(24121,24137) = 1
LCM(24121,24137) = ( 24121 × 24137) / 1
LCM(24121,24137) = 582208577 / 1
LCM(24121,24137) = 582208577

Least Common Multiple (LCM) of 24121 and 24137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24121 and 24137. First we will calculate the prime factors of 24121 and 24137.

Prime Factorization of 24121

Prime factors of 24121 are 24121. Prime factorization of 24121 in exponential form is:

24121 = 241211

Prime Factorization of 24137

Prime factors of 24137 are 24137. Prime factorization of 24137 in exponential form is:

24137 = 241371

Now multiplying the highest exponent prime factors to calculate the LCM of 24121 and 24137.

LCM(24121,24137) = 241211 × 241371
LCM(24121,24137) = 582208577