What is the Least Common Multiple of 24841 and 24859?
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 24841 and 24859 is 617522419.
LCM(24841,24859) = 617522419
Least Common Multiple of 24841 and 24859 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24841 and 24859, than apply into the LCM equation.
GCF(24841,24859) = 1
LCM(24841,24859) = ( 24841 × 24859) / 1
LCM(24841,24859) = 617522419 / 1
LCM(24841,24859) = 617522419
Least Common Multiple (LCM) of 24841 and 24859 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24841 and 24859. First we will calculate the prime factors of 24841 and 24859.
Prime Factorization of 24841
Prime factors of 24841 are 24841. Prime factorization of 24841 in exponential form is:
24841 = 248411
Prime Factorization of 24859
Prime factors of 24859 are 24859. Prime factorization of 24859 in exponential form is:
24859 = 248591
Now multiplying the highest exponent prime factors to calculate the LCM of 24841 and 24859.
LCM(24841,24859) = 248411 × 248591
LCM(24841,24859) = 617522419
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