Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3701 and 3709 the smallest integer that is 13727009 that is divisible by both numbers.
Least Common Multiple (LCM) of 3701 and 3709 is 13727009.
LCM(3701,3709) = 13727009
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 3701 and 3709. First we will calculate the prime factors of 3701 and 3709.
Prime Factorization of 3701
3701 | 3701 |
1 |
Prime factors of 3701 are 3701. Prime factorization of 3701 in exponential form is:
3701 = 37011
Prime Factorization of 3709
3709 | 3709 |
1 |
Prime factors of 3709 are 3709. Prime factorization of 3709 in exponential form is:
3709 = 37091
Now multiplying the highest exponent prime factors to calculate the LCM of 3701 and 3709.
LCM(3701,3709) = 37011×37091
LCM(3701,3709) = 13727009
Factors of 3701
List of positive integer factors of 3701 that divides 3701 without a remainder.
1, 3701
Factors of 3709
List of positive integer factors of 3709 that divides 3709 without a remainder.
1, 3709
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3701 and 3709, than apply into the LCM equation.
GCF(3701,3709) = 1
LCM(3701,3709) = ( 3701 × 3709) / 1
LCM(3701,3709) = 13727009 / 1
LCM(3701,3709) = 13727009
(i) The LCM of 3709 and 3701 is associative
LCM of 3701 and 3709 = LCM of 3709 and 3701
1. What is the LCM of 3701 and 3709?
Answer: LCM of 3701 and 3709 is 13727009.
2. What are the Factors of 3701?
Answer: Factors of 3701 are 1, 3701. There are 2 integers that are factors of 3701. The greatest factor of 3701 is 3701.
3. What are the Factors of 3709?
Answer: Factors of 3709 are 1, 3709. There are 2 integers that are factors of 3709. The greatest factor of 3709 is 3709.
4. How to Find the LCM of 3701 and 3709?
Answer:
Least Common Multiple of 3701 and 3709 = 13727009
Step 1: Find the prime factorization of 3701
3701 = 3701
Step 2: Find the prime factorization of 3709
3709 = 3709
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13727009 = 3701 x 3709
Step 4: Therefore, the least common multiple of 3701 and 3709 is 13727009.