What is the Least Common Multiple of 80887 and 80893?
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 80887 and 80893 is 6543192091.
LCM(80887,80893) = 6543192091
Least Common Multiple of 80887 and 80893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80887 and 80893, than apply into the LCM equation.
GCF(80887,80893) = 1
LCM(80887,80893) = ( 80887 × 80893) / 1
LCM(80887,80893) = 6543192091 / 1
LCM(80887,80893) = 6543192091
Least Common Multiple (LCM) of 80887 and 80893 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80887 and 80893. First we will calculate the prime factors of 80887 and 80893.
Prime Factorization of 80887
Prime factors of 80887 are 47, 1721. Prime factorization of 80887 in exponential form is:
80887 = 471 × 17211
Prime Factorization of 80893
Prime factors of 80893 are 41, 1973. Prime factorization of 80893 in exponential form is:
80893 = 411 × 19731
Now multiplying the highest exponent prime factors to calculate the LCM of 80887 and 80893.
LCM(80887,80893) = 471 × 17211 × 411 × 19731
LCM(80887,80893) = 6543192091
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