What is the Least Common Multiple of 15858 and 15878?
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 15858 and 15878 is 125896662.
LCM(15858,15878) = 125896662
Least Common Multiple of 15858 and 15878 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15858 and 15878, than apply into the LCM equation.
GCF(15858,15878) = 2
LCM(15858,15878) = ( 15858 × 15878) / 2
LCM(15858,15878) = 251793324 / 2
LCM(15858,15878) = 125896662
Least Common Multiple (LCM) of 15858 and 15878 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15858 and 15878. First we will calculate the prime factors of 15858 and 15878.
Prime Factorization of 15858
Prime factors of 15858 are 2, 3, 881. Prime factorization of 15858 in exponential form is:
15858 = 21 × 32 × 8811
Prime Factorization of 15878
Prime factors of 15878 are 2, 17, 467. Prime factorization of 15878 in exponential form is:
15878 = 21 × 171 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 15858 and 15878.
LCM(15858,15878) = 21 × 32 × 8811 × 171 × 4671
LCM(15858,15878) = 125896662
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