What is the Least Common Multiple of 15848 and 15859?
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 15848 and 15859 is 251333432.
LCM(15848,15859) = 251333432
Least Common Multiple of 15848 and 15859 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15848 and 15859, than apply into the LCM equation.
GCF(15848,15859) = 1
LCM(15848,15859) = ( 15848 × 15859) / 1
LCM(15848,15859) = 251333432 / 1
LCM(15848,15859) = 251333432
Least Common Multiple (LCM) of 15848 and 15859 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15848 and 15859. First we will calculate the prime factors of 15848 and 15859.
Prime Factorization of 15848
Prime factors of 15848 are 2, 7, 283. Prime factorization of 15848 in exponential form is:
15848 = 23 × 71 × 2831
Prime Factorization of 15859
Prime factors of 15859 are 15859. Prime factorization of 15859 in exponential form is:
15859 = 158591
Now multiplying the highest exponent prime factors to calculate the LCM of 15848 and 15859.
LCM(15848,15859) = 23 × 71 × 2831 × 158591
LCM(15848,15859) = 251333432
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