What is the Least Common Multiple of 80665 and 80683?
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 80665 and 80683 is 6508294195.
LCM(80665,80683) = 6508294195
Least Common Multiple of 80665 and 80683 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80665 and 80683, than apply into the LCM equation.
GCF(80665,80683) = 1
LCM(80665,80683) = ( 80665 × 80683) / 1
LCM(80665,80683) = 6508294195 / 1
LCM(80665,80683) = 6508294195
Least Common Multiple (LCM) of 80665 and 80683 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80665 and 80683. First we will calculate the prime factors of 80665 and 80683.
Prime Factorization of 80665
Prime factors of 80665 are 5, 13, 17, 73. Prime factorization of 80665 in exponential form is:
80665 = 51 × 131 × 171 × 731
Prime Factorization of 80683
Prime factors of 80683 are 80683. Prime factorization of 80683 in exponential form is:
80683 = 806831
Now multiplying the highest exponent prime factors to calculate the LCM of 80665 and 80683.
LCM(80665,80683) = 51 × 131 × 171 × 731 × 806831
LCM(80665,80683) = 6508294195
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