What is the Least Common Multiple of 80386 and 80390?
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 80386 and 80390 is 3231115270.
LCM(80386,80390) = 3231115270
Least Common Multiple of 80386 and 80390 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80386 and 80390, than apply into the LCM equation.
GCF(80386,80390) = 2
LCM(80386,80390) = ( 80386 × 80390) / 2
LCM(80386,80390) = 6462230540 / 2
LCM(80386,80390) = 3231115270
Least Common Multiple (LCM) of 80386 and 80390 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80386 and 80390. First we will calculate the prime factors of 80386 and 80390.
Prime Factorization of 80386
Prime factors of 80386 are 2, 40193. Prime factorization of 80386 in exponential form is:
80386 = 21 × 401931
Prime Factorization of 80390
Prime factors of 80390 are 2, 5, 8039. Prime factorization of 80390 in exponential form is:
80390 = 21 × 51 × 80391
Now multiplying the highest exponent prime factors to calculate the LCM of 80386 and 80390.
LCM(80386,80390) = 21 × 401931 × 51 × 80391
LCM(80386,80390) = 3231115270
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