What is the Least Common Multiple of 24133 and 24151?
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 24133 and 24151 is 582836083.
LCM(24133,24151) = 582836083
Least Common Multiple of 24133 and 24151 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24133 and 24151, than apply into the LCM equation.
GCF(24133,24151) = 1
LCM(24133,24151) = ( 24133 × 24151) / 1
LCM(24133,24151) = 582836083 / 1
LCM(24133,24151) = 582836083
Least Common Multiple (LCM) of 24133 and 24151 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24133 and 24151. First we will calculate the prime factors of 24133 and 24151.
Prime Factorization of 24133
Prime factors of 24133 are 24133. Prime factorization of 24133 in exponential form is:
24133 = 241331
Prime Factorization of 24151
Prime factors of 24151 are 24151. Prime factorization of 24151 in exponential form is:
24151 = 241511
Now multiplying the highest exponent prime factors to calculate the LCM of 24133 and 24151.
LCM(24133,24151) = 241331 × 241511
LCM(24133,24151) = 582836083
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