What is the Least Common Multiple of 86627 and 86643?
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 86627 and 86643 is 7505623161.
LCM(86627,86643) = 7505623161
Least Common Multiple of 86627 and 86643 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86627 and 86643, than apply into the LCM equation.
GCF(86627,86643) = 1
LCM(86627,86643) = ( 86627 × 86643) / 1
LCM(86627,86643) = 7505623161 / 1
LCM(86627,86643) = 7505623161
Least Common Multiple (LCM) of 86627 and 86643 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86627 and 86643. First we will calculate the prime factors of 86627 and 86643.
Prime Factorization of 86627
Prime factors of 86627 are 86627. Prime factorization of 86627 in exponential form is:
86627 = 866271
Prime Factorization of 86643
Prime factors of 86643 are 3, 3209. Prime factorization of 86643 in exponential form is:
86643 = 33 × 32091
Now multiplying the highest exponent prime factors to calculate the LCM of 86627 and 86643.
LCM(86627,86643) = 866271 × 33 × 32091
LCM(86627,86643) = 7505623161
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