What is the Least Common Multiple of 715 and 728?
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 728 is 40040.
LCM(715,728) = 40040
Least Common Multiple of 715 and 728 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 728, than apply into the LCM equation.
GCF(715,728) = 13
LCM(715,728) = ( 715 × 728) / 13
LCM(715,728) = 520520 / 13
LCM(715,728) = 40040
Least Common Multiple (LCM) of 715 and 728 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 715 and 728. First we will calculate the prime factors of 715 and 728.
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 728
Prime factors of 728 are 2, 7, 13. Prime factorization of 728 in exponential form is:
728 = 23 × 71 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 715 and 728.
LCM(715,728) = 51 × 111 × 131 × 23 × 71
LCM(715,728) = 40040
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 728
- LCM of 728 and 732
- LCM of 728 and 733
- LCM of 728 and 734
- LCM of 728 and 735
- LCM of 728 and 736
- LCM of 728 and 737
- LCM of 728 and 738
- LCM of 728 and 739
- LCM of 728 and 740
- LCM of 728 and 741
- LCM of 728 and 742
- LCM of 728 and 743
- LCM of 728 and 744
- LCM of 728 and 745
- LCM of 728 and 746
- LCM of 728 and 747
- LCM of 728 and 748