What is the Least Common Multiple of 80913 and 80923?
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 80913 and 80923 is 6547722699.
LCM(80913,80923) = 6547722699
Least Common Multiple of 80913 and 80923 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80913 and 80923, than apply into the LCM equation.
GCF(80913,80923) = 1
LCM(80913,80923) = ( 80913 × 80923) / 1
LCM(80913,80923) = 6547722699 / 1
LCM(80913,80923) = 6547722699
Least Common Multiple (LCM) of 80913 and 80923 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80913 and 80923. First we will calculate the prime factors of 80913 and 80923.
Prime Factorization of 80913
Prime factors of 80913 are 3, 7, 3853. Prime factorization of 80913 in exponential form is:
80913 = 31 × 71 × 38531
Prime Factorization of 80923
Prime factors of 80923 are 80923. Prime factorization of 80923 in exponential form is:
80923 = 809231
Now multiplying the highest exponent prime factors to calculate the LCM of 80913 and 80923.
LCM(80913,80923) = 31 × 71 × 38531 × 809231
LCM(80913,80923) = 6547722699
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