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 3724 the smallest integer that is 13849556 that is divisible by both numbers.
Least Common Multiple (LCM) of 3719 and 3724 is 13849556.
LCM(3719,3724) = 13849556
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 3724. First we will calculate the prime factors of 3719 and 3724.
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 3724
2 | 3724 |
2 | 1862 |
7 | 931 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 3724 are 2, 7,19. Prime factorization of 3724 in exponential form is:
3724 = 22×72×191
Now multiplying the highest exponent prime factors to calculate the LCM of 3719 and 3724.
LCM(3719,3724) = 22×72×191×37191
LCM(3719,3724) = 13849556
Factors of 3719
List of positive integer factors of 3719 that divides 3719 without a remainder.
1, 3719
Factors of 3724
List of positive integer factors of 3724 that divides 3724 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3719 and 3724, than apply into the LCM equation.
GCF(3719,3724) = 1
LCM(3719,3724) = ( 3719 × 3724) / 1
LCM(3719,3724) = 13849556 / 1
LCM(3719,3724) = 13849556
(i) The LCM of 3724 and 3719 is associative
LCM of 3719 and 3724 = LCM of 3724 and 3719
1. What is the LCM of 3719 and 3724?
Answer: LCM of 3719 and 3724 is 13849556.
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 3724?
Answer: Factors of 3724 are 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724. There are 18 integers that are factors of 3724. The greatest factor of 3724 is 3724.
4. How to Find the LCM of 3719 and 3724?
Answer:
Least Common Multiple of 3719 and 3724 = 13849556
Step 1: Find the prime factorization of 3719
3719 = 3719
Step 2: Find the prime factorization of 3724
3724 = 2 x 2 x 7 x 7 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13849556 = 2 x 2 x 7 x 7 x 19 x 3719
Step 4: Therefore, the least common multiple of 3719 and 3724 is 13849556.