Least Common Multiple of 721 and 727
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 721 and 727 the smallest integer that is 524167 that is divisible by both numbers.
Least Common Multiple (LCM) of 721 and 727 is 524167.
LCM(721,727) = 524167
LCM of 721 and 727
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 721 and 727 by Prime method
- Least Common Multiple of 721 and 727 with GCF Formula
LCM of 721 and 727 is 524167
Least common multiple can be found by multiplying the highest exponent prime factors of 721 and 727. First we will calculate the prime factors of 721 and 727.
Prime Factorization of 721
| 7 | 721 |
| 103 | 103 |
| 1 |
Prime factors of 721 are 7,103. Prime factorization of 721 in exponential form is:
721 = 71×1031
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 721 and 727.
LCM(721,727) = 71×1031×7271
LCM(721,727) = 524167
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1, 727
Least Common Multiple of 721 and 727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 721 and 727, than apply into the LCM equation.
GCF(721,727) = 1
LCM(721,727) = ( 721 × 727) / 1
LCM(721,727) = 524167 / 1
LCM(721,727) = 524167
Properties of LCM 721 and 727
(i) The LCM of 727 and 721 is associative
LCM of 721 and 727 = LCM of 727 and 721
Related Least Common Multiples of 721
Related Least Common Multiples of 727
Frequently Asked Questions on LCM of 721 and 727
1. What is the LCM of 721 and 727?
Answer: LCM of 721 and 727 is 524167.
2. What are the Factors of 721?
Answer: Factors of 721 are 1, 7, 103, 721. There are 4 integers that are factors of 721. The greatest factor of 721 is 721.
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 721 and 727?
Answer:
Least Common Multiple of 721 and 727 = 524167
Step 1: Find the prime factorization of 721
721 = 7 x 103
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 = 524167 = 7 x 103 x 727
Step 4: Therefore, the least common multiple of 721 and 727 is 524167.
