What is the Least Common Multiple of 713 and 732?
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 713 and 732 is 521916.
LCM(713,732) = 521916
Least Common Multiple of 713 and 732 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 713 and 732, than apply into the LCM equation.
GCF(713,732) = 1
LCM(713,732) = ( 713 × 732) / 1
LCM(713,732) = 521916 / 1
LCM(713,732) = 521916
Least Common Multiple (LCM) of 713 and 732 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 713 and 732. First we will calculate the prime factors of 713 and 732.
Prime Factorization of 713
Prime factors of 713 are 23, 31. Prime factorization of 713 in exponential form is:
713 = 231 × 311
Prime Factorization of 732
Prime factors of 732 are 2, 3, 61. Prime factorization of 732 in exponential form is:
732 = 22 × 31 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 713 and 732.
LCM(713,732) = 231 × 311 × 22 × 31 × 611
LCM(713,732) = 521916
Related Least Common Multiples of 713
- LCM of 713 and 717
- LCM of 713 and 718
- LCM of 713 and 719
- LCM of 713 and 720
- LCM of 713 and 721
- LCM of 713 and 722
- LCM of 713 and 723
- LCM of 713 and 724
- LCM of 713 and 725
- LCM of 713 and 726
- LCM of 713 and 727
- LCM of 713 and 728
- LCM of 713 and 729
- LCM of 713 and 730
- LCM of 713 and 731
- LCM of 713 and 732
- LCM of 713 and 733
Related Least Common Multiples of 732
- LCM of 732 and 736
- LCM of 732 and 737
- LCM of 732 and 738
- LCM of 732 and 739
- LCM of 732 and 740
- LCM of 732 and 741
- LCM of 732 and 742
- LCM of 732 and 743
- LCM of 732 and 744
- LCM of 732 and 745
- LCM of 732 and 746
- LCM of 732 and 747
- LCM of 732 and 748
- LCM of 732 and 749
- LCM of 732 and 750
- LCM of 732 and 751
- LCM of 732 and 752