What is the Least Common Multiple of 716 and 720?
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 716 and 720 is 128880.
LCM(716,720) = 128880
Least Common Multiple of 716 and 720 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 716 and 720, than apply into the LCM equation.
GCF(716,720) = 4
LCM(716,720) = ( 716 × 720) / 4
LCM(716,720) = 515520 / 4
LCM(716,720) = 128880
Least Common Multiple (LCM) of 716 and 720 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 716 and 720. First we will calculate the prime factors of 716 and 720.
Prime Factorization of 716
Prime factors of 716 are 2, 179. Prime factorization of 716 in exponential form is:
716 = 22 × 1791
Prime Factorization of 720
Prime factors of 720 are 2, 3, 5. Prime factorization of 720 in exponential form is:
720 = 24 × 32 × 51
Now multiplying the highest exponent prime factors to calculate the LCM of 716 and 720.
LCM(716,720) = 24 × 1791 × 32 × 51
LCM(716,720) = 128880
Related Least Common Multiples of 716
- LCM of 716 and 720
- LCM of 716 and 721
- LCM of 716 and 722
- LCM of 716 and 723
- LCM of 716 and 724
- LCM of 716 and 725
- LCM of 716 and 726
- LCM of 716 and 727
- LCM of 716 and 728
- LCM of 716 and 729
- LCM of 716 and 730
- LCM of 716 and 731
- LCM of 716 and 732
- LCM of 716 and 733
- LCM of 716 and 734
- LCM of 716 and 735
- LCM of 716 and 736
Related Least Common Multiples of 720
- LCM of 720 and 724
- LCM of 720 and 725
- LCM of 720 and 726
- LCM of 720 and 727
- LCM of 720 and 728
- LCM of 720 and 729
- LCM of 720 and 730
- LCM of 720 and 731
- LCM of 720 and 732
- LCM of 720 and 733
- LCM of 720 and 734
- LCM of 720 and 735
- LCM of 720 and 736
- LCM of 720 and 737
- LCM of 720 and 738
- LCM of 720 and 739
- LCM of 720 and 740