What is the Least Common Multiple of 32159 and 32165?
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 32159 and 32165 is 1034394235.
LCM(32159,32165) = 1034394235
Least Common Multiple of 32159 and 32165 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32159 and 32165, than apply into the LCM equation.
GCF(32159,32165) = 1
LCM(32159,32165) = ( 32159 × 32165) / 1
LCM(32159,32165) = 1034394235 / 1
LCM(32159,32165) = 1034394235
Least Common Multiple (LCM) of 32159 and 32165 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32159 and 32165. First we will calculate the prime factors of 32159 and 32165.
Prime Factorization of 32159
Prime factors of 32159 are 32159. Prime factorization of 32159 in exponential form is:
32159 = 321591
Prime Factorization of 32165
Prime factors of 32165 are 5, 7, 919. Prime factorization of 32165 in exponential form is:
32165 = 51 × 71 × 9191
Now multiplying the highest exponent prime factors to calculate the LCM of 32159 and 32165.
LCM(32159,32165) = 321591 × 51 × 71 × 9191
LCM(32159,32165) = 1034394235
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