Least Common Multiple of 35 and 39
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 35 and 39 the smallest integer that is 1365 that is divisible by both numbers.
Least Common Multiple (LCM) of 35 and 39 is 1365.
LCM(35,39) = 1365
LCM of 35 and 39
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 35 and 39 by Prime method
- Least Common Multiple of 35 and 39 with GCF Formula
LCM of 35 and 39 is 1365
Least common multiple can be found by multiplying the highest exponent prime factors of 35 and 39. First we will calculate the prime factors of 35 and 39.
Prime Factorization of 35
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 35 are 5,7. Prime factorization of 35 in exponential form is:
35 = 51×71
Prime Factorization of 39
| 3 | 39 |
| 13 | 13 |
| 1 |
Prime factors of 39 are 3,13. Prime factorization of 39 in exponential form is:
39 = 31×131
Now multiplying the highest exponent prime factors to calculate the LCM of 35 and 39.
LCM(35,39) = 31×51×71×131
LCM(35,39) = 1365
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Least Common Multiple of 35 and 39 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35 and 39, than apply into the LCM equation.
GCF(35,39) = 1
LCM(35,39) = ( 35 × 39) / 1
LCM(35,39) = 1365 / 1
LCM(35,39) = 1365
Properties of LCM 35 and 39
(i) The LCM of 39 and 35 is associative
LCM of 35 and 39 = LCM of 39 and 35
Related Least Common Multiples of 35
Related Least Common Multiples of 39
Frequently Asked Questions on LCM of 35 and 39
1. What is the LCM of 35 and 39?
Answer: LCM of 35 and 39 is 1365.
2. What are the Factors of 35?
Answer: Factors of 35 are 1, 5, 7, 35. There are 4 integers that are factors of 35. The greatest factor of 35 is 35.
3. What are the Factors of 39?
Answer: Factors of 39 are 1, 3, 13, 39. There are 4 integers that are factors of 39. The greatest factor of 39 is 39.
4. How to Find the LCM of 35 and 39?
Answer:
Least Common Multiple of 35 and 39 = 1365
Step 1: Find the prime factorization of 35
35 = 5 x 7
Step 2: Find the prime factorization of 39
39 = 3 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1365 = 3 x 5 x 7 x 13
Step 4: Therefore, the least common multiple of 35 and 39 is 1365.