What is the Least Common Multiple of 24041 and 24051?
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 24041 and 24051 is 578210091.
LCM(24041,24051) = 578210091
Least Common Multiple of 24041 and 24051 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24041 and 24051, than apply into the LCM equation.
GCF(24041,24051) = 1
LCM(24041,24051) = ( 24041 × 24051) / 1
LCM(24041,24051) = 578210091 / 1
LCM(24041,24051) = 578210091
Least Common Multiple (LCM) of 24041 and 24051 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24041 and 24051. First we will calculate the prime factors of 24041 and 24051.
Prime Factorization of 24041
Prime factors of 24041 are 29, 829. Prime factorization of 24041 in exponential form is:
24041 = 291 × 8291
Prime Factorization of 24051
Prime factors of 24051 are 3, 8017. Prime factorization of 24051 in exponential form is:
24051 = 31 × 80171
Now multiplying the highest exponent prime factors to calculate the LCM of 24041 and 24051.
LCM(24041,24051) = 291 × 8291 × 31 × 80171
LCM(24041,24051) = 578210091
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