What is the Least Common Multiple of 86167 and 86171?
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 86167 and 86171 is 7425096557.
LCM(86167,86171) = 7425096557
Least Common Multiple of 86167 and 86171 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86167 and 86171, than apply into the LCM equation.
GCF(86167,86171) = 1
LCM(86167,86171) = ( 86167 × 86171) / 1
LCM(86167,86171) = 7425096557 / 1
LCM(86167,86171) = 7425096557
Least Common Multiple (LCM) of 86167 and 86171 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86167 and 86171. First we will calculate the prime factors of 86167 and 86171.
Prime Factorization of 86167
Prime factors of 86167 are 199, 433. Prime factorization of 86167 in exponential form is:
86167 = 1991 × 4331
Prime Factorization of 86171
Prime factors of 86171 are 86171. Prime factorization of 86171 in exponential form is:
86171 = 861711
Now multiplying the highest exponent prime factors to calculate the LCM of 86167 and 86171.
LCM(86167,86171) = 1991 × 4331 × 861711
LCM(86167,86171) = 7425096557
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