Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3692 and 3697 the smallest integer that is 13649324 that is divisible by both numbers.
Least Common Multiple (LCM) of 3692 and 3697 is 13649324.
LCM(3692,3697) = 13649324
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 3692 and 3697. First we will calculate the prime factors of 3692 and 3697.
Prime Factorization of 3692
2 | 3692 |
2 | 1846 |
13 | 923 |
71 | 71 |
1 |
Prime factors of 3692 are 2, 13,71. Prime factorization of 3692 in exponential form is:
3692 = 22×131×711
Prime Factorization of 3697
3697 | 3697 |
1 |
Prime factors of 3697 are 3697. Prime factorization of 3697 in exponential form is:
3697 = 36971
Now multiplying the highest exponent prime factors to calculate the LCM of 3692 and 3697.
LCM(3692,3697) = 22×131×711×36971
LCM(3692,3697) = 13649324
Factors of 3692
List of positive integer factors of 3692 that divides 3692 without a remainder.
1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846, 3692
Factors of 3697
List of positive integer factors of 3697 that divides 3697 without a remainder.
1, 3697
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3692 and 3697, than apply into the LCM equation.
GCF(3692,3697) = 1
LCM(3692,3697) = ( 3692 × 3697) / 1
LCM(3692,3697) = 13649324 / 1
LCM(3692,3697) = 13649324
(i) The LCM of 3697 and 3692 is associative
LCM of 3692 and 3697 = LCM of 3697 and 3692
1. What is the LCM of 3692 and 3697?
Answer: LCM of 3692 and 3697 is 13649324.
2. What are the Factors of 3692?
Answer: Factors of 3692 are 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846, 3692. There are 12 integers that are factors of 3692. The greatest factor of 3692 is 3692.
3. What are the Factors of 3697?
Answer: Factors of 3697 are 1, 3697. There are 2 integers that are factors of 3697. The greatest factor of 3697 is 3697.
4. How to Find the LCM of 3692 and 3697?
Answer:
Least Common Multiple of 3692 and 3697 = 13649324
Step 1: Find the prime factorization of 3692
3692 = 2 x 2 x 13 x 71
Step 2: Find the prime factorization of 3697
3697 = 3697
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13649324 = 2 x 2 x 13 x 71 x 3697
Step 4: Therefore, the least common multiple of 3692 and 3697 is 13649324.