What is the Least Common Multiple of 80651 and 80659?
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 80651 and 80659 is 6505229009.
LCM(80651,80659) = 6505229009
Least Common Multiple of 80651 and 80659 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80651 and 80659, than apply into the LCM equation.
GCF(80651,80659) = 1
LCM(80651,80659) = ( 80651 × 80659) / 1
LCM(80651,80659) = 6505229009 / 1
LCM(80651,80659) = 6505229009
Least Common Multiple (LCM) of 80651 and 80659 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80651 and 80659. First we will calculate the prime factors of 80651 and 80659.
Prime Factorization of 80651
Prime factors of 80651 are 80651. Prime factorization of 80651 in exponential form is:
80651 = 806511
Prime Factorization of 80659
Prime factors of 80659 are 79, 1021. Prime factorization of 80659 in exponential form is:
80659 = 791 × 10211
Now multiplying the highest exponent prime factors to calculate the LCM of 80651 and 80659.
LCM(80651,80659) = 806511 × 791 × 10211
LCM(80651,80659) = 6505229009
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