What is the Least Common Multiple of 24482 and 24489?
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 24482 and 24489 is 599539698.
LCM(24482,24489) = 599539698
Least Common Multiple of 24482 and 24489 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24482 and 24489, than apply into the LCM equation.
GCF(24482,24489) = 1
LCM(24482,24489) = ( 24482 × 24489) / 1
LCM(24482,24489) = 599539698 / 1
LCM(24482,24489) = 599539698
Least Common Multiple (LCM) of 24482 and 24489 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24482 and 24489. First we will calculate the prime factors of 24482 and 24489.
Prime Factorization of 24482
Prime factors of 24482 are 2, 12241. Prime factorization of 24482 in exponential form is:
24482 = 21 × 122411
Prime Factorization of 24489
Prime factors of 24489 are 3, 907. Prime factorization of 24489 in exponential form is:
24489 = 33 × 9071
Now multiplying the highest exponent prime factors to calculate the LCM of 24482 and 24489.
LCM(24482,24489) = 21 × 122411 × 33 × 9071
LCM(24482,24489) = 599539698
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