What is the Least Common Multiple of 15856 and 15860?
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 15860 is 62869040.
LCM(15856,15860) = 62869040
Least Common Multiple of 15856 and 15860 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 15860, than apply into the LCM equation.
GCF(15856,15860) = 4
LCM(15856,15860) = ( 15856 × 15860) / 4
LCM(15856,15860) = 251476160 / 4
LCM(15856,15860) = 62869040
Least Common Multiple (LCM) of 15856 and 15860 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15856 and 15860. First we will calculate the prime factors of 15856 and 15860.
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 15860
Prime factors of 15860 are 2, 5, 13, 61. Prime factorization of 15860 in exponential form is:
15860 = 22 × 51 × 131 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 15856 and 15860.
LCM(15856,15860) = 24 × 9911 × 51 × 131 × 611
LCM(15856,15860) = 62869040
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