What is the Least Common Multiple of 80986 and 80997?
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 80986 and 80997 is 6559623042.
LCM(80986,80997) = 6559623042
Least Common Multiple of 80986 and 80997 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80986 and 80997, than apply into the LCM equation.
GCF(80986,80997) = 1
LCM(80986,80997) = ( 80986 × 80997) / 1
LCM(80986,80997) = 6559623042 / 1
LCM(80986,80997) = 6559623042
Least Common Multiple (LCM) of 80986 and 80997 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80986 and 80997. First we will calculate the prime factors of 80986 and 80997.
Prime Factorization of 80986
Prime factors of 80986 are 2, 40493. Prime factorization of 80986 in exponential form is:
80986 = 21 × 404931
Prime Factorization of 80997
Prime factors of 80997 are 3, 7, 19, 29. Prime factorization of 80997 in exponential form is:
80997 = 31 × 72 × 191 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 80986 and 80997.
LCM(80986,80997) = 21 × 404931 × 31 × 72 × 191 × 291
LCM(80986,80997) = 6559623042
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