What is the Least Common Multiple of 80669 and 80679?
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 80669 and 80679 is 6508294251.
LCM(80669,80679) = 6508294251
Least Common Multiple of 80669 and 80679 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80669 and 80679, than apply into the LCM equation.
GCF(80669,80679) = 1
LCM(80669,80679) = ( 80669 × 80679) / 1
LCM(80669,80679) = 6508294251 / 1
LCM(80669,80679) = 6508294251
Least Common Multiple (LCM) of 80669 and 80679 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80669 and 80679. First we will calculate the prime factors of 80669 and 80679.
Prime Factorization of 80669
Prime factors of 80669 are 80669. Prime factorization of 80669 in exponential form is:
80669 = 806691
Prime Factorization of 80679
Prime factors of 80679 are 3, 26893. Prime factorization of 80679 in exponential form is:
80679 = 31 × 268931
Now multiplying the highest exponent prime factors to calculate the LCM of 80669 and 80679.
LCM(80669,80679) = 806691 × 31 × 268931
LCM(80669,80679) = 6508294251
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