Least Common Multiple of 6734 and 6735
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6734 and 6735 the smallest integer that is 45353490 that is divisible by both numbers.
Least Common Multiple (LCM) of 6734 and 6735 is 45353490.
LCM(6734,6735) = 45353490
LCM of 6734 and 6735
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6734 and 6735 by Prime method
- Least Common Multiple of 6734 and 6735 with GCF Formula
LCM of 6734 and 6735 is 45353490
Least common multiple can be found by multiplying the highest exponent prime factors of 6734 and 6735. First we will calculate the prime factors of 6734 and 6735.
Prime Factorization of 6734
| 2 | 6734 |
| 7 | 3367 |
| 13 | 481 |
| 37 | 37 |
| 1 |
Prime factors of 6734 are 2, 7, 13,37. Prime factorization of 6734 in exponential form is:
6734 = 21×71×131×371
Prime Factorization of 6735
| 3 | 6735 |
| 5 | 2245 |
| 449 | 449 |
| 1 |
Prime factors of 6735 are 3, 5,449. Prime factorization of 6735 in exponential form is:
6735 = 31×51×4491
Now multiplying the highest exponent prime factors to calculate the LCM of 6734 and 6735.
LCM(6734,6735) = 21×31×51×71×131×371×4491
LCM(6734,6735) = 45353490
Factors of 6734
List of positive integer factors of 6734 that divides 6734 without a remainder.
1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734
Factors of 6735
List of positive integer factors of 6735 that divides 6735 without a remainder.
1, 3, 5, 15, 449, 1347, 2245, 6735
Least Common Multiple of 6734 and 6735 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6734 and 6735, than apply into the LCM equation.
GCF(6734,6735) = 1
LCM(6734,6735) = ( 6734 × 6735) / 1
LCM(6734,6735) = 45353490 / 1
LCM(6734,6735) = 45353490
Properties of LCM 6734 and 6735
(i) The LCM of 6735 and 6734 is associative
LCM of 6734 and 6735 = LCM of 6735 and 6734
Related Least Common Multiples of 6734
Related Least Common Multiples of 6735
Frequently Asked Questions on LCM of 6734 and 6735
1. What is the LCM of 6734 and 6735?
Answer: LCM of 6734 and 6735 is 45353490.
2. What are the Factors of 6734?
Answer: Factors of 6734 are 1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734. There are 16 integers that are factors of 6734. The greatest factor of 6734 is 6734.
3. What are the Factors of 6735?
Answer: Factors of 6735 are 1, 3, 5, 15, 449, 1347, 2245, 6735. There are 8 integers that are factors of 6735. The greatest factor of 6735 is 6735.
4. How to Find the LCM of 6734 and 6735?
Answer:
Least Common Multiple of 6734 and 6735 = 45353490
Step 1: Find the prime factorization of 6734
6734 = 2 x 7 x 13 x 37
Step 2: Find the prime factorization of 6735
6735 = 3 x 5 x 449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45353490 = 2 x 3 x 5 x 7 x 13 x 37 x 449
Step 4: Therefore, the least common multiple of 6734 and 6735 is 45353490.