What is the Least Common Multiple of 24237 and 24241?
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 24237 and 24241 is 587529117.
LCM(24237,24241) = 587529117
Least Common Multiple of 24237 and 24241 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24237 and 24241, than apply into the LCM equation.
GCF(24237,24241) = 1
LCM(24237,24241) = ( 24237 × 24241) / 1
LCM(24237,24241) = 587529117 / 1
LCM(24237,24241) = 587529117
Least Common Multiple (LCM) of 24237 and 24241 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24237 and 24241. First we will calculate the prime factors of 24237 and 24241.
Prime Factorization of 24237
Prime factors of 24237 are 3, 2693. Prime factorization of 24237 in exponential form is:
24237 = 32 × 26931
Prime Factorization of 24241
Prime factors of 24241 are 7, 3463. Prime factorization of 24241 in exponential form is:
24241 = 71 × 34631
Now multiplying the highest exponent prime factors to calculate the LCM of 24237 and 24241.
LCM(24237,24241) = 32 × 26931 × 71 × 34631
LCM(24237,24241) = 587529117
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