What is the Least Common Multiple of 15859 and 15879?
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 15859 and 15879 is 251825061.
LCM(15859,15879) = 251825061
Least Common Multiple of 15859 and 15879 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15859 and 15879, than apply into the LCM equation.
GCF(15859,15879) = 1
LCM(15859,15879) = ( 15859 × 15879) / 1
LCM(15859,15879) = 251825061 / 1
LCM(15859,15879) = 251825061
Least Common Multiple (LCM) of 15859 and 15879 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15859 and 15879. First we will calculate the prime factors of 15859 and 15879.
Prime Factorization of 15859
Prime factors of 15859 are 15859. Prime factorization of 15859 in exponential form is:
15859 = 158591
Prime Factorization of 15879
Prime factors of 15879 are 3, 67, 79. Prime factorization of 15879 in exponential form is:
15879 = 31 × 671 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 15859 and 15879.
LCM(15859,15879) = 158591 × 31 × 671 × 791
LCM(15859,15879) = 251825061
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