Least Common Multiple of 734 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 734 and 735 the smallest integer that is 539490 that is divisible by both numbers.
Least Common Multiple (LCM) of 734 and 735 is 539490.
LCM(734,735) = 539490
LCM of 734 and 735
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 734 and 735 by Prime method
- Least Common Multiple of 734 and 735 with GCF Formula
LCM of 734 and 735 is 539490
Least common multiple can be found by multiplying the highest exponent prime factors of 734 and 735. First we will calculate the prime factors of 734 and 735.
Prime Factorization of 734
| 2 | 734 |
| 367 | 367 |
| 1 |
Prime factors of 734 are 2,367. Prime factorization of 734 in exponential form is:
734 = 21×3671
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 734 and 735.
LCM(734,735) = 21×31×51×72×3671
LCM(734,735) = 539490
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1, 2, 367, 734
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 734 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 734 and 735, than apply into the LCM equation.
GCF(734,735) = 1
LCM(734,735) = ( 734 × 735) / 1
LCM(734,735) = 539490 / 1
LCM(734,735) = 539490
Properties of LCM 734 and 735
(i) The LCM of 735 and 734 is associative
LCM of 734 and 735 = LCM of 735 and 734
Related Least Common Multiples of 734
Related Least Common Multiples of 735
Frequently Asked Questions on LCM of 734 and 735
1. What is the LCM of 734 and 735?
Answer: LCM of 734 and 735 is 539490.
2. What are the Factors of 734?
Answer: Factors of 734 are 1, 2, 367, 734. There are 4 integers that are factors of 734. The greatest factor of 734 is 734.
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 734 and 735?
Answer:
Least Common Multiple of 734 and 735 = 539490
Step 1: Find the prime factorization of 734
734 = 2 x 367
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 = 539490 = 2 x 3 x 5 x 7 x 7 x 367
Step 4: Therefore, the least common multiple of 734 and 735 is 539490.