What is the Least Common Multiple of 65008 and 65014?
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 65008 and 65014 is 2113215056.
LCM(65008,65014) = 2113215056
Least Common Multiple of 65008 and 65014 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65008 and 65014, than apply into the LCM equation.
GCF(65008,65014) = 2
LCM(65008,65014) = ( 65008 × 65014) / 2
LCM(65008,65014) = 4226430112 / 2
LCM(65008,65014) = 2113215056
Least Common Multiple (LCM) of 65008 and 65014 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65008 and 65014. First we will calculate the prime factors of 65008 and 65014.
Prime Factorization of 65008
Prime factors of 65008 are 2, 17, 239. Prime factorization of 65008 in exponential form is:
65008 = 24 × 171 × 2391
Prime Factorization of 65014
Prime factors of 65014 are 2, 32507. Prime factorization of 65014 in exponential form is:
65014 = 21 × 325071
Now multiplying the highest exponent prime factors to calculate the LCM of 65008 and 65014.
LCM(65008,65014) = 24 × 171 × 2391 × 325071
LCM(65008,65014) = 2113215056
Related Least Common Multiples of 65008
- LCM of 65008 and 65012
- LCM of 65008 and 65013
- LCM of 65008 and 65014
- LCM of 65008 and 65015
- LCM of 65008 and 65016
- LCM of 65008 and 65017
- LCM of 65008 and 65018
- LCM of 65008 and 65019
- LCM of 65008 and 65020
- LCM of 65008 and 65021
- LCM of 65008 and 65022
- LCM of 65008 and 65023
- LCM of 65008 and 65024
- LCM of 65008 and 65025
- LCM of 65008 and 65026
- LCM of 65008 and 65027
- LCM of 65008 and 65028
Related Least Common Multiples of 65014
- LCM of 65014 and 65018
- LCM of 65014 and 65019
- LCM of 65014 and 65020
- LCM of 65014 and 65021
- LCM of 65014 and 65022
- LCM of 65014 and 65023
- LCM of 65014 and 65024
- LCM of 65014 and 65025
- LCM of 65014 and 65026
- LCM of 65014 and 65027
- LCM of 65014 and 65028
- LCM of 65014 and 65029
- LCM of 65014 and 65030
- LCM of 65014 and 65031
- LCM of 65014 and 65032
- LCM of 65014 and 65033
- LCM of 65014 and 65034