What is the Least Common Multiple of 86063 and 86078?
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 86063 and 86078 is 7408130914.
LCM(86063,86078) = 7408130914
Least Common Multiple of 86063 and 86078 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86063 and 86078, than apply into the LCM equation.
GCF(86063,86078) = 1
LCM(86063,86078) = ( 86063 × 86078) / 1
LCM(86063,86078) = 7408130914 / 1
LCM(86063,86078) = 7408130914
Least Common Multiple (LCM) of 86063 and 86078 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86063 and 86078. First we will calculate the prime factors of 86063 and 86078.
Prime Factorization of 86063
Prime factors of 86063 are 89, 967. Prime factorization of 86063 in exponential form is:
86063 = 891 × 9671
Prime Factorization of 86078
Prime factors of 86078 are 2, 193, 223. Prime factorization of 86078 in exponential form is:
86078 = 21 × 1931 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 86063 and 86078.
LCM(86063,86078) = 891 × 9671 × 21 × 1931 × 2231
LCM(86063,86078) = 7408130914
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