What is the Least Common Multiple of 80039 and 80047?
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 80039 and 80047 is 6406881833.
LCM(80039,80047) = 6406881833
Least Common Multiple of 80039 and 80047 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80039 and 80047, than apply into the LCM equation.
GCF(80039,80047) = 1
LCM(80039,80047) = ( 80039 × 80047) / 1
LCM(80039,80047) = 6406881833 / 1
LCM(80039,80047) = 6406881833
Least Common Multiple (LCM) of 80039 and 80047 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80039 and 80047. First we will calculate the prime factors of 80039 and 80047.
Prime Factorization of 80039
Prime factors of 80039 are 80039. Prime factorization of 80039 in exponential form is:
80039 = 800391
Prime Factorization of 80047
Prime factors of 80047 are 11, 19, 383. Prime factorization of 80047 in exponential form is:
80047 = 111 × 191 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 80039 and 80047.
LCM(80039,80047) = 800391 × 111 × 191 × 3831
LCM(80039,80047) = 6406881833
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