Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3719 and 3727 the smallest integer that is 13860713 that is divisible by both numbers.
Least Common Multiple (LCM) of 3719 and 3727 is 13860713.
LCM(3719,3727) = 13860713
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 3719 and 3727. First we will calculate the prime factors of 3719 and 3727.
Prime Factorization of 3719
3719 | 3719 |
1 |
Prime factors of 3719 are 3719. Prime factorization of 3719 in exponential form is:
3719 = 37191
Prime Factorization of 3727
3727 | 3727 |
1 |
Prime factors of 3727 are 3727. Prime factorization of 3727 in exponential form is:
3727 = 37271
Now multiplying the highest exponent prime factors to calculate the LCM of 3719 and 3727.
LCM(3719,3727) = 37191×37271
LCM(3719,3727) = 13860713
Factors of 3719
List of positive integer factors of 3719 that divides 3719 without a remainder.
1, 3719
Factors of 3727
List of positive integer factors of 3727 that divides 3727 without a remainder.
1, 3727
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3719 and 3727, than apply into the LCM equation.
GCF(3719,3727) = 1
LCM(3719,3727) = ( 3719 × 3727) / 1
LCM(3719,3727) = 13860713 / 1
LCM(3719,3727) = 13860713
(i) The LCM of 3727 and 3719 is associative
LCM of 3719 and 3727 = LCM of 3727 and 3719
1. What is the LCM of 3719 and 3727?
Answer: LCM of 3719 and 3727 is 13860713.
2. What are the Factors of 3719?
Answer: Factors of 3719 are 1, 3719. There are 2 integers that are factors of 3719. The greatest factor of 3719 is 3719.
3. What are the Factors of 3727?
Answer: Factors of 3727 are 1, 3727. There are 2 integers that are factors of 3727. The greatest factor of 3727 is 3727.
4. How to Find the LCM of 3719 and 3727?
Answer:
Least Common Multiple of 3719 and 3727 = 13860713
Step 1: Find the prime factorization of 3719
3719 = 3719
Step 2: Find the prime factorization of 3727
3727 = 3727
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13860713 = 3719 x 3727
Step 4: Therefore, the least common multiple of 3719 and 3727 is 13860713.