What is the Least Common Multiple of 724 and 729?
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 724 and 729 is 527796.
LCM(724,729) = 527796
Least Common Multiple of 724 and 729 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 724 and 729, than apply into the LCM equation.
GCF(724,729) = 1
LCM(724,729) = ( 724 × 729) / 1
LCM(724,729) = 527796 / 1
LCM(724,729) = 527796
Least Common Multiple (LCM) of 724 and 729 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 724 and 729. First we will calculate the prime factors of 724 and 729.
Prime Factorization of 724
Prime factors of 724 are 2, 181. Prime factorization of 724 in exponential form is:
724 = 22 × 1811
Prime Factorization of 729
Prime factors of 729 are 3. Prime factorization of 729 in exponential form is:
729 = 36
Now multiplying the highest exponent prime factors to calculate the LCM of 724 and 729.
LCM(724,729) = 22 × 1811 × 36
LCM(724,729) = 527796
Related Least Common Multiples of 724
- LCM of 724 and 728
- LCM of 724 and 729
- LCM of 724 and 730
- LCM of 724 and 731
- LCM of 724 and 732
- LCM of 724 and 733
- LCM of 724 and 734
- LCM of 724 and 735
- LCM of 724 and 736
- LCM of 724 and 737
- LCM of 724 and 738
- LCM of 724 and 739
- LCM of 724 and 740
- LCM of 724 and 741
- LCM of 724 and 742
- LCM of 724 and 743
- LCM of 724 and 744
Related Least Common Multiples of 729
- LCM of 729 and 733
- LCM of 729 and 734
- LCM of 729 and 735
- LCM of 729 and 736
- LCM of 729 and 737
- LCM of 729 and 738
- LCM of 729 and 739
- LCM of 729 and 740
- LCM of 729 and 741
- LCM of 729 and 742
- LCM of 729 and 743
- LCM of 729 and 744
- LCM of 729 and 745
- LCM of 729 and 746
- LCM of 729 and 747
- LCM of 729 and 748
- LCM of 729 and 749