What is the Least Common Multiple of 724 and 741?
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 741 is 536484.
LCM(724,741) = 536484
Least Common Multiple of 724 and 741 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 741, than apply into the LCM equation.
GCF(724,741) = 1
LCM(724,741) = ( 724 × 741) / 1
LCM(724,741) = 536484 / 1
LCM(724,741) = 536484
Least Common Multiple (LCM) of 724 and 741 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 724 and 741. First we will calculate the prime factors of 724 and 741.
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 741
Prime factors of 741 are 3, 13, 19. Prime factorization of 741 in exponential form is:
741 = 31 × 131 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 724 and 741.
LCM(724,741) = 22 × 1811 × 31 × 131 × 191
LCM(724,741) = 536484
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 741
- LCM of 741 and 745
- LCM of 741 and 746
- LCM of 741 and 747
- LCM of 741 and 748
- LCM of 741 and 749
- LCM of 741 and 750
- LCM of 741 and 751
- LCM of 741 and 752
- LCM of 741 and 753
- LCM of 741 and 754
- LCM of 741 and 755
- LCM of 741 and 756
- LCM of 741 and 757
- LCM of 741 and 758
- LCM of 741 and 759
- LCM of 741 and 760
- LCM of 741 and 761