What is the Least Common Multiple of 80839 and 80859?
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 80839 and 80859 is 6536560701.
LCM(80839,80859) = 6536560701
Least Common Multiple of 80839 and 80859 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80839 and 80859, than apply into the LCM equation.
GCF(80839,80859) = 1
LCM(80839,80859) = ( 80839 × 80859) / 1
LCM(80839,80859) = 6536560701 / 1
LCM(80839,80859) = 6536560701
Least Common Multiple (LCM) of 80839 and 80859 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80839 and 80859. First we will calculate the prime factors of 80839 and 80859.
Prime Factorization of 80839
Prime factors of 80839 are 11, 7349. Prime factorization of 80839 in exponential form is:
80839 = 111 × 73491
Prime Factorization of 80859
Prime factors of 80859 are 3, 26953. Prime factorization of 80859 in exponential form is:
80859 = 31 × 269531
Now multiplying the highest exponent prime factors to calculate the LCM of 80839 and 80859.
LCM(80839,80859) = 111 × 73491 × 31 × 269531
LCM(80839,80859) = 6536560701
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