Least Common Multiple of 735 and 739
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 735 and 739 the smallest integer that is 543165 that is divisible by both numbers.
Least Common Multiple (LCM) of 735 and 739 is 543165.
LCM(735,739) = 543165
LCM of 735 and 739
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 735 and 739 by Prime method
- Least Common Multiple of 735 and 739 with GCF Formula
LCM of 735 and 739 is 543165
Least common multiple can be found by multiplying the highest exponent prime factors of 735 and 739. First we will calculate the prime factors of 735 and 739.
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
Prime Factorization of 739
| 739 | 739 |
| 1 |
Prime factors of 739 are 739. Prime factorization of 739 in exponential form is:
739 = 7391
Now multiplying the highest exponent prime factors to calculate the LCM of 735 and 739.
LCM(735,739) = 31×51×72×7391
LCM(735,739) = 543165
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
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1, 739
Least Common Multiple of 735 and 739 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 735 and 739, than apply into the LCM equation.
GCF(735,739) = 1
LCM(735,739) = ( 735 × 739) / 1
LCM(735,739) = 543165 / 1
LCM(735,739) = 543165
Properties of LCM 735 and 739
(i) The LCM of 739 and 735 is associative
LCM of 735 and 739 = LCM of 739 and 735
Related Least Common Multiples of 735
Related Least Common Multiples of 739
Frequently Asked Questions on LCM of 735 and 739
1. What is the LCM of 735 and 739?
Answer: LCM of 735 and 739 is 543165.
2. 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.
3. What are the Factors of 739?
Answer: Factors of 739 are 1, 739. There are 2 integers that are factors of 739. The greatest factor of 739 is 739.
4. How to Find the LCM of 735 and 739?
Answer:
Least Common Multiple of 735 and 739 = 543165
Step 1: Find the prime factorization of 735
735 = 3 x 5 x 7 x 7
Step 2: Find the prime factorization of 739
739 = 739
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 543165 = 3 x 5 x 7 x 7 x 739
Step 4: Therefore, the least common multiple of 735 and 739 is 543165.