What is the Least Common Multiple of 721 and 733?
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 721 and 733 is 528493.
LCM(721,733) = 528493
Least Common Multiple of 721 and 733 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 721 and 733, than apply into the LCM equation.
GCF(721,733) = 1
LCM(721,733) = ( 721 × 733) / 1
LCM(721,733) = 528493 / 1
LCM(721,733) = 528493
Least Common Multiple (LCM) of 721 and 733 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 721 and 733. First we will calculate the prime factors of 721 and 733.
Prime Factorization of 721
Prime factors of 721 are 7, 103. Prime factorization of 721 in exponential form is:
721 = 71 × 1031
Prime Factorization of 733
Prime factors of 733 are 733. Prime factorization of 733 in exponential form is:
733 = 7331
Now multiplying the highest exponent prime factors to calculate the LCM of 721 and 733.
LCM(721,733) = 71 × 1031 × 7331
LCM(721,733) = 528493
Related Least Common Multiples of 721
- LCM of 721 and 725
- LCM of 721 and 726
- LCM of 721 and 727
- LCM of 721 and 728
- LCM of 721 and 729
- LCM of 721 and 730
- LCM of 721 and 731
- LCM of 721 and 732
- LCM of 721 and 733
- LCM of 721 and 734
- LCM of 721 and 735
- LCM of 721 and 736
- LCM of 721 and 737
- LCM of 721 and 738
- LCM of 721 and 739
- LCM of 721 and 740
- LCM of 721 and 741
Related Least Common Multiples of 733
- LCM of 733 and 737
- LCM of 733 and 738
- LCM of 733 and 739
- LCM of 733 and 740
- LCM of 733 and 741
- LCM of 733 and 742
- LCM of 733 and 743
- LCM of 733 and 744
- LCM of 733 and 745
- LCM of 733 and 746
- LCM of 733 and 747
- LCM of 733 and 748
- LCM of 733 and 749
- LCM of 733 and 750
- LCM of 733 and 751
- LCM of 733 and 752
- LCM of 733 and 753