What is the Least Common Multiple of 725 and 745?
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 725 and 745 is 108025.
LCM(725,745) = 108025
Least Common Multiple of 725 and 745 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 725 and 745, than apply into the LCM equation.
GCF(725,745) = 5
LCM(725,745) = ( 725 × 745) / 5
LCM(725,745) = 540125 / 5
LCM(725,745) = 108025
Least Common Multiple (LCM) of 725 and 745 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 725 and 745. First we will calculate the prime factors of 725 and 745.
Prime Factorization of 725
Prime factors of 725 are 5, 29. Prime factorization of 725 in exponential form is:
725 = 52 × 291
Prime Factorization of 745
Prime factors of 745 are 5, 149. Prime factorization of 745 in exponential form is:
745 = 51 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 725 and 745.
LCM(725,745) = 52 × 291 × 1491
LCM(725,745) = 108025
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
Related Least Common Multiples of 745
- LCM of 745 and 749
- LCM of 745 and 750
- LCM of 745 and 751
- LCM of 745 and 752
- LCM of 745 and 753
- LCM of 745 and 754
- LCM of 745 and 755
- LCM of 745 and 756
- LCM of 745 and 757
- LCM of 745 and 758
- LCM of 745 and 759
- LCM of 745 and 760
- LCM of 745 and 761
- LCM of 745 and 762
- LCM of 745 and 763
- LCM of 745 and 764
- LCM of 745 and 765