What is the Least Common Multiple of 720 and 736?
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 720 and 736 is 33120.
LCM(720,736) = 33120
Least Common Multiple of 720 and 736 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 720 and 736, than apply into the LCM equation.
GCF(720,736) = 16
LCM(720,736) = ( 720 × 736) / 16
LCM(720,736) = 529920 / 16
LCM(720,736) = 33120
Least Common Multiple (LCM) of 720 and 736 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 720 and 736. First we will calculate the prime factors of 720 and 736.
Prime Factorization of 720
Prime factors of 720 are 2, 3, 5. Prime factorization of 720 in exponential form is:
720 = 24 × 32 × 51
Prime Factorization of 736
Prime factors of 736 are 2, 23. Prime factorization of 736 in exponential form is:
736 = 25 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 720 and 736.
LCM(720,736) = 25 × 32 × 51 × 231
LCM(720,736) = 33120
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
Related Least Common Multiples of 736
- LCM of 736 and 740
- LCM of 736 and 741
- LCM of 736 and 742
- LCM of 736 and 743
- LCM of 736 and 744
- LCM of 736 and 745
- LCM of 736 and 746
- LCM of 736 and 747
- LCM of 736 and 748
- LCM of 736 and 749
- LCM of 736 and 750
- LCM of 736 and 751
- LCM of 736 and 752
- LCM of 736 and 753
- LCM of 736 and 754
- LCM of 736 and 755
- LCM of 736 and 756