What is the Least Common Multiple of 715 and 723?
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 715 and 723 is 516945.
LCM(715,723) = 516945
Least Common Multiple of 715 and 723 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 715 and 723, than apply into the LCM equation.
GCF(715,723) = 1
LCM(715,723) = ( 715 × 723) / 1
LCM(715,723) = 516945 / 1
LCM(715,723) = 516945
Least Common Multiple (LCM) of 715 and 723 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 715 and 723. First we will calculate the prime factors of 715 and 723.
Prime Factorization of 715
Prime factors of 715 are 5, 11, 13. Prime factorization of 715 in exponential form is:
715 = 51 × 111 × 131
Prime Factorization of 723
Prime factors of 723 are 3, 241. Prime factorization of 723 in exponential form is:
723 = 31 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 715 and 723.
LCM(715,723) = 51 × 111 × 131 × 31 × 2411
LCM(715,723) = 516945
Related Least Common Multiples of 715
- LCM of 715 and 719
- LCM of 715 and 720
- LCM of 715 and 721
- LCM of 715 and 722
- LCM of 715 and 723
- LCM of 715 and 724
- LCM of 715 and 725
- LCM of 715 and 726
- LCM of 715 and 727
- LCM of 715 and 728
- LCM of 715 and 729
- LCM of 715 and 730
- LCM of 715 and 731
- LCM of 715 and 732
- LCM of 715 and 733
- LCM of 715 and 734
- LCM of 715 and 735
Related Least Common Multiples of 723
- LCM of 723 and 727
- LCM of 723 and 728
- LCM of 723 and 729
- LCM of 723 and 730
- LCM of 723 and 731
- LCM of 723 and 732
- LCM of 723 and 733
- LCM of 723 and 734
- LCM of 723 and 735
- LCM of 723 and 736
- LCM of 723 and 737
- LCM of 723 and 738
- LCM of 723 and 739
- LCM of 723 and 740
- LCM of 723 and 741
- LCM of 723 and 742
- LCM of 723 and 743