Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 725 and 727 the smallest integer that is 527075 that is divisible by both numbers.
Least Common Multiple (LCM) of 725 and 727 is 527075.
LCM(725,727) = 527075
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 725 and 727. First we will calculate the prime factors of 725 and 727.
Prime Factorization of 725
5 | 725 |
5 | 145 |
29 | 29 |
1 |
Prime factors of 725 are 5,29. Prime factorization of 725 in exponential form is:
725 = 52×291
Prime Factorization of 727
727 | 727 |
1 |
Prime factors of 727 are 727. Prime factorization of 727 in exponential form is:
727 = 7271
Now multiplying the highest exponent prime factors to calculate the LCM of 725 and 727.
LCM(725,727) = 52×291×7271
LCM(725,727) = 527075
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1, 727
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 725 and 727, than apply into the LCM equation.
GCF(725,727) = 1
LCM(725,727) = ( 725 × 727) / 1
LCM(725,727) = 527075 / 1
LCM(725,727) = 527075
(i) The LCM of 727 and 725 is associative
LCM of 725 and 727 = LCM of 727 and 725
1. What is the LCM of 725 and 727?
Answer: LCM of 725 and 727 is 527075.
2. What are the Factors of 725?
Answer: Factors of 725 are 1, 5, 25, 29, 145, 725. There are 6 integers that are factors of 725. The greatest factor of 725 is 725.
3. What are the Factors of 727?
Answer: Factors of 727 are 1, 727. There are 2 integers that are factors of 727. The greatest factor of 727 is 727.
4. How to Find the LCM of 725 and 727?
Answer:
Least Common Multiple of 725 and 727 = 527075
Step 1: Find the prime factorization of 725
725 = 5 x 5 x 29
Step 2: Find the prime factorization of 727
727 = 727
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 527075 = 5 x 5 x 29 x 727
Step 4: Therefore, the least common multiple of 725 and 727 is 527075.