What is the Least Common Multiple of 24031 and 24047?
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 24031 and 24047 is 577873457.
LCM(24031,24047) = 577873457
Least Common Multiple of 24031 and 24047 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24031 and 24047, than apply into the LCM equation.
GCF(24031,24047) = 1
LCM(24031,24047) = ( 24031 × 24047) / 1
LCM(24031,24047) = 577873457 / 1
LCM(24031,24047) = 577873457
Least Common Multiple (LCM) of 24031 and 24047 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24031 and 24047. First we will calculate the prime factors of 24031 and 24047.
Prime Factorization of 24031
Prime factors of 24031 are 7, 3433. Prime factorization of 24031 in exponential form is:
24031 = 71 × 34331
Prime Factorization of 24047
Prime factors of 24047 are 139, 173. Prime factorization of 24047 in exponential form is:
24047 = 1391 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 24031 and 24047.
LCM(24031,24047) = 71 × 34331 × 1391 × 1731
LCM(24031,24047) = 577873457
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