What is the Least Common Multiple of 24481 and 24501?
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 24481 and 24501 is 599808981.
LCM(24481,24501) = 599808981
Least Common Multiple of 24481 and 24501 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24481 and 24501, than apply into the LCM equation.
GCF(24481,24501) = 1
LCM(24481,24501) = ( 24481 × 24501) / 1
LCM(24481,24501) = 599808981 / 1
LCM(24481,24501) = 599808981
Least Common Multiple (LCM) of 24481 and 24501 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24481 and 24501. First we will calculate the prime factors of 24481 and 24501.
Prime Factorization of 24481
Prime factors of 24481 are 24481. Prime factorization of 24481 in exponential form is:
24481 = 244811
Prime Factorization of 24501
Prime factors of 24501 are 3, 8167. Prime factorization of 24501 in exponential form is:
24501 = 31 × 81671
Now multiplying the highest exponent prime factors to calculate the LCM of 24481 and 24501.
LCM(24481,24501) = 244811 × 31 × 81671
LCM(24481,24501) = 599808981
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