What is the Least Common Multiple of 15856 and 15865?
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 15856 and 15865 is 251555440.
LCM(15856,15865) = 251555440
Least Common Multiple of 15856 and 15865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15856 and 15865, than apply into the LCM equation.
GCF(15856,15865) = 1
LCM(15856,15865) = ( 15856 × 15865) / 1
LCM(15856,15865) = 251555440 / 1
LCM(15856,15865) = 251555440
Least Common Multiple (LCM) of 15856 and 15865 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15856 and 15865. First we will calculate the prime factors of 15856 and 15865.
Prime Factorization of 15856
Prime factors of 15856 are 2, 991. Prime factorization of 15856 in exponential form is:
15856 = 24 × 9911
Prime Factorization of 15865
Prime factors of 15865 are 5, 19, 167. Prime factorization of 15865 in exponential form is:
15865 = 51 × 191 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 15856 and 15865.
LCM(15856,15865) = 24 × 9911 × 51 × 191 × 1671
LCM(15856,15865) = 251555440
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