What is the Least Common Multiple of 86427 and 86439?
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 86427 and 86439 is 2490221151.
LCM(86427,86439) = 2490221151
Least Common Multiple of 86427 and 86439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86427 and 86439, than apply into the LCM equation.
GCF(86427,86439) = 3
LCM(86427,86439) = ( 86427 × 86439) / 3
LCM(86427,86439) = 7470663453 / 3
LCM(86427,86439) = 2490221151
Least Common Multiple (LCM) of 86427 and 86439 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86427 and 86439. First we will calculate the prime factors of 86427 and 86439.
Prime Factorization of 86427
Prime factors of 86427 are 3, 11, 97. Prime factorization of 86427 in exponential form is:
86427 = 34 × 111 × 971
Prime Factorization of 86439
Prime factors of 86439 are 3, 28813. Prime factorization of 86439 in exponential form is:
86439 = 31 × 288131
Now multiplying the highest exponent prime factors to calculate the LCM of 86427 and 86439.
LCM(86427,86439) = 34 × 111 × 971 × 288131
LCM(86427,86439) = 2490221151
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