What is the Least Common Multiple of 24859 and 24865?
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 24859 and 24865 is 618119035.
LCM(24859,24865) = 618119035
Least Common Multiple of 24859 and 24865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24859 and 24865, than apply into the LCM equation.
GCF(24859,24865) = 1
LCM(24859,24865) = ( 24859 × 24865) / 1
LCM(24859,24865) = 618119035 / 1
LCM(24859,24865) = 618119035
Least Common Multiple (LCM) of 24859 and 24865 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24859 and 24865. First we will calculate the prime factors of 24859 and 24865.
Prime Factorization of 24859
Prime factors of 24859 are 24859. Prime factorization of 24859 in exponential form is:
24859 = 248591
Prime Factorization of 24865
Prime factors of 24865 are 5, 4973. Prime factorization of 24865 in exponential form is:
24865 = 51 × 49731
Now multiplying the highest exponent prime factors to calculate the LCM of 24859 and 24865.
LCM(24859,24865) = 248591 × 51 × 49731
LCM(24859,24865) = 618119035
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