What is the Least Common Multiple of 24011 and 24022?
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 24011 and 24022 is 576792242.
LCM(24011,24022) = 576792242
Least Common Multiple of 24011 and 24022 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24011 and 24022, than apply into the LCM equation.
GCF(24011,24022) = 1
LCM(24011,24022) = ( 24011 × 24022) / 1
LCM(24011,24022) = 576792242 / 1
LCM(24011,24022) = 576792242
Least Common Multiple (LCM) of 24011 and 24022 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24011 and 24022. First we will calculate the prime factors of 24011 and 24022.
Prime Factorization of 24011
Prime factors of 24011 are 13, 1847. Prime factorization of 24011 in exponential form is:
24011 = 131 × 18471
Prime Factorization of 24022
Prime factors of 24022 are 2, 12011. Prime factorization of 24022 in exponential form is:
24022 = 21 × 120111
Now multiplying the highest exponent prime factors to calculate the LCM of 24011 and 24022.
LCM(24011,24022) = 131 × 18471 × 21 × 120111
LCM(24011,24022) = 576792242
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