What is the Least Common Multiple of 80390 and 80397?
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 80390 and 80397 is 6463114830.
LCM(80390,80397) = 6463114830
Least Common Multiple of 80390 and 80397 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80390 and 80397, than apply into the LCM equation.
GCF(80390,80397) = 1
LCM(80390,80397) = ( 80390 × 80397) / 1
LCM(80390,80397) = 6463114830 / 1
LCM(80390,80397) = 6463114830
Least Common Multiple (LCM) of 80390 and 80397 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80390 and 80397. First we will calculate the prime factors of 80390 and 80397.
Prime Factorization of 80390
Prime factors of 80390 are 2, 5, 8039. Prime factorization of 80390 in exponential form is:
80390 = 21 × 51 × 80391
Prime Factorization of 80397
Prime factors of 80397 are 3, 8933. Prime factorization of 80397 in exponential form is:
80397 = 32 × 89331
Now multiplying the highest exponent prime factors to calculate the LCM of 80390 and 80397.
LCM(80390,80397) = 21 × 51 × 80391 × 32 × 89331
LCM(80390,80397) = 6463114830
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