What is the Least Common Multiple of 80683 and 80695?
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 80683 and 80695 is 6510714685.
LCM(80683,80695) = 6510714685
Least Common Multiple of 80683 and 80695 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80683 and 80695, than apply into the LCM equation.
GCF(80683,80695) = 1
LCM(80683,80695) = ( 80683 × 80695) / 1
LCM(80683,80695) = 6510714685 / 1
LCM(80683,80695) = 6510714685
Least Common Multiple (LCM) of 80683 and 80695 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80683 and 80695. First we will calculate the prime factors of 80683 and 80695.
Prime Factorization of 80683
Prime factors of 80683 are 80683. Prime factorization of 80683 in exponential form is:
80683 = 806831
Prime Factorization of 80695
Prime factors of 80695 are 5, 16139. Prime factorization of 80695 in exponential form is:
80695 = 51 × 161391
Now multiplying the highest exponent prime factors to calculate the LCM of 80683 and 80695.
LCM(80683,80695) = 806831 × 51 × 161391
LCM(80683,80695) = 6510714685
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