Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3699 and 3703 the smallest integer that is 13697397 that is divisible by both numbers.
Least Common Multiple (LCM) of 3699 and 3703 is 13697397.
LCM(3699,3703) = 13697397
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 3699 and 3703. First we will calculate the prime factors of 3699 and 3703.
Prime Factorization of 3699
3 | 3699 |
3 | 1233 |
3 | 411 |
137 | 137 |
1 |
Prime factors of 3699 are 3,137. Prime factorization of 3699 in exponential form is:
3699 = 33×1371
Prime Factorization of 3703
7 | 3703 |
23 | 529 |
23 | 23 |
1 |
Prime factors of 3703 are 7,23. Prime factorization of 3703 in exponential form is:
3703 = 71×232
Now multiplying the highest exponent prime factors to calculate the LCM of 3699 and 3703.
LCM(3699,3703) = 33×71×232×1371
LCM(3699,3703) = 13697397
Factors of 3699
List of positive integer factors of 3699 that divides 3699 without a remainder.
1, 3, 9, 27, 137, 411, 1233, 3699
Factors of 3703
List of positive integer factors of 3703 that divides 3703 without a remainder.
1, 7, 23, 161, 529, 3703
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3699 and 3703, than apply into the LCM equation.
GCF(3699,3703) = 1
LCM(3699,3703) = ( 3699 × 3703) / 1
LCM(3699,3703) = 13697397 / 1
LCM(3699,3703) = 13697397
(i) The LCM of 3703 and 3699 is associative
LCM of 3699 and 3703 = LCM of 3703 and 3699
1. What is the LCM of 3699 and 3703?
Answer: LCM of 3699 and 3703 is 13697397.
2. What are the Factors of 3699?
Answer: Factors of 3699 are 1, 3, 9, 27, 137, 411, 1233, 3699. There are 8 integers that are factors of 3699. The greatest factor of 3699 is 3699.
3. What are the Factors of 3703?
Answer: Factors of 3703 are 1, 7, 23, 161, 529, 3703. There are 6 integers that are factors of 3703. The greatest factor of 3703 is 3703.
4. How to Find the LCM of 3699 and 3703?
Answer:
Least Common Multiple of 3699 and 3703 = 13697397
Step 1: Find the prime factorization of 3699
3699 = 3 x 3 x 3 x 137
Step 2: Find the prime factorization of 3703
3703 = 7 x 23 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13697397 = 3 x 3 x 3 x 7 x 23 x 23 x 137
Step 4: Therefore, the least common multiple of 3699 and 3703 is 13697397.