What is the Least Common Multiple of 24037 and 24041?
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 24037 and 24041 is 577873517.
LCM(24037,24041) = 577873517
Least Common Multiple of 24037 and 24041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24037 and 24041, than apply into the LCM equation.
GCF(24037,24041) = 1
LCM(24037,24041) = ( 24037 × 24041) / 1
LCM(24037,24041) = 577873517 / 1
LCM(24037,24041) = 577873517
Least Common Multiple (LCM) of 24037 and 24041 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24037 and 24041. First we will calculate the prime factors of 24037 and 24041.
Prime Factorization of 24037
Prime factors of 24037 are 13, 43. Prime factorization of 24037 in exponential form is:
24037 = 131 × 432
Prime Factorization of 24041
Prime factors of 24041 are 29, 829. Prime factorization of 24041 in exponential form is:
24041 = 291 × 8291
Now multiplying the highest exponent prime factors to calculate the LCM of 24037 and 24041.
LCM(24037,24041) = 131 × 432 × 291 × 8291
LCM(24037,24041) = 577873517
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