Least Common Multiple of 727 and 735
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 727 and 735 the smallest integer that is 534345 that is divisible by both numbers.
Least Common Multiple (LCM) of 727 and 735 is 534345.
LCM(727,735) = 534345
LCM of 727 and 735
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 727 and 735 by Prime method
- Least Common Multiple of 727 and 735 with GCF Formula
LCM of 727 and 735 is 534345
Least common multiple can be found by multiplying the highest exponent prime factors of 727 and 735. First we will calculate the prime factors of 727 and 735.
Prime Factorization of 727
| 727 | 727 |
| 1 |
Prime factors of 727 are 727. Prime factorization of 727 in exponential form is:
727 = 7271
Prime Factorization of 735
| 3 | 735 |
| 5 | 245 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 735 are 3, 5,7. Prime factorization of 735 in exponential form is:
735 = 31×51×72
Now multiplying the highest exponent prime factors to calculate the LCM of 727 and 735.
LCM(727,735) = 31×51×72×7271
LCM(727,735) = 534345
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1, 727
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Least Common Multiple of 727 and 735 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 727 and 735, than apply into the LCM equation.
GCF(727,735) = 1
LCM(727,735) = ( 727 × 735) / 1
LCM(727,735) = 534345 / 1
LCM(727,735) = 534345
Properties of LCM 727 and 735
(i) The LCM of 735 and 727 is associative
LCM of 727 and 735 = LCM of 735 and 727
Related Least Common Multiples of 727
Related Least Common Multiples of 735
Frequently Asked Questions on LCM of 727 and 735
1. What is the LCM of 727 and 735?
Answer: LCM of 727 and 735 is 534345.
2. 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.
3. What are the Factors of 735?
Answer: Factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735. There are 12 integers that are factors of 735. The greatest factor of 735 is 735.
4. How to Find the LCM of 727 and 735?
Answer:
Least Common Multiple of 727 and 735 = 534345
Step 1: Find the prime factorization of 727
727 = 727
Step 2: Find the prime factorization of 735
735 = 3 x 5 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 534345 = 3 x 5 x 7 x 7 x 727
Step 4: Therefore, the least common multiple of 727 and 735 is 534345.