What is the Least Common Multiple of 86159 and 86163?
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 86159 and 86163 is 7423717917.
LCM(86159,86163) = 7423717917
Least Common Multiple of 86159 and 86163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86159 and 86163, than apply into the LCM equation.
GCF(86159,86163) = 1
LCM(86159,86163) = ( 86159 × 86163) / 1
LCM(86159,86163) = 7423717917 / 1
LCM(86159,86163) = 7423717917
Least Common Multiple (LCM) of 86159 and 86163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86159 and 86163. First we will calculate the prime factors of 86159 and 86163.
Prime Factorization of 86159
Prime factors of 86159 are 29, 2971. Prime factorization of 86159 in exponential form is:
86159 = 291 × 29711
Prime Factorization of 86163
Prime factors of 86163 are 3, 7, 11, 373. Prime factorization of 86163 in exponential form is:
86163 = 31 × 71 × 111 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 86159 and 86163.
LCM(86159,86163) = 291 × 29711 × 31 × 71 × 111 × 3731
LCM(86159,86163) = 7423717917
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