What is the Least Common Multiple of 714 and 725?
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 714 and 725 is 517650.
LCM(714,725) = 517650
Least Common Multiple of 714 and 725 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 714 and 725, than apply into the LCM equation.
GCF(714,725) = 1
LCM(714,725) = ( 714 × 725) / 1
LCM(714,725) = 517650 / 1
LCM(714,725) = 517650
Least Common Multiple (LCM) of 714 and 725 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 714 and 725. First we will calculate the prime factors of 714 and 725.
Prime Factorization of 714
Prime factors of 714 are 2, 3, 7, 17. Prime factorization of 714 in exponential form is:
714 = 21 × 31 × 71 × 171
Prime Factorization of 725
Prime factors of 725 are 5, 29. Prime factorization of 725 in exponential form is:
725 = 52 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 714 and 725.
LCM(714,725) = 21 × 31 × 71 × 171 × 52 × 291
LCM(714,725) = 517650
Related Least Common Multiples of 714
- LCM of 714 and 718
- LCM of 714 and 719
- LCM of 714 and 720
- LCM of 714 and 721
- LCM of 714 and 722
- LCM of 714 and 723
- LCM of 714 and 724
- LCM of 714 and 725
- LCM of 714 and 726
- LCM of 714 and 727
- LCM of 714 and 728
- LCM of 714 and 729
- LCM of 714 and 730
- LCM of 714 and 731
- LCM of 714 and 732
- LCM of 714 and 733
- LCM of 714 and 734
Related Least Common Multiples of 725
- LCM of 725 and 729
- LCM of 725 and 730
- LCM of 725 and 731
- LCM of 725 and 732
- LCM of 725 and 733
- LCM of 725 and 734
- LCM of 725 and 735
- LCM of 725 and 736
- LCM of 725 and 737
- LCM of 725 and 738
- LCM of 725 and 739
- LCM of 725 and 740
- LCM of 725 and 741
- LCM of 725 and 742
- LCM of 725 and 743
- LCM of 725 and 744
- LCM of 725 and 745