What is the Least Common Multiple of 15850 and 15867?
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 15850 and 15867 is 251491950.
LCM(15850,15867) = 251491950
Least Common Multiple of 15850 and 15867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15850 and 15867, than apply into the LCM equation.
GCF(15850,15867) = 1
LCM(15850,15867) = ( 15850 × 15867) / 1
LCM(15850,15867) = 251491950 / 1
LCM(15850,15867) = 251491950
Least Common Multiple (LCM) of 15850 and 15867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15850 and 15867. First we will calculate the prime factors of 15850 and 15867.
Prime Factorization of 15850
Prime factors of 15850 are 2, 5, 317. Prime factorization of 15850 in exponential form is:
15850 = 21 × 52 × 3171
Prime Factorization of 15867
Prime factors of 15867 are 3, 41, 43. Prime factorization of 15867 in exponential form is:
15867 = 32 × 411 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 15850 and 15867.
LCM(15850,15867) = 21 × 52 × 3171 × 32 × 411 × 431
LCM(15850,15867) = 251491950
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