Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3602 and 3609 the smallest integer that is 12999618 that is divisible by both numbers.
Least Common Multiple (LCM) of 3602 and 3609 is 12999618.
LCM(3602,3609) = 12999618
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 3602 and 3609. First we will calculate the prime factors of 3602 and 3609.
Prime Factorization of 3602
2 | 3602 |
1801 | 1801 |
1 |
Prime factors of 3602 are 2,1801. Prime factorization of 3602 in exponential form is:
3602 = 21×18011
Prime Factorization of 3609
3 | 3609 |
3 | 1203 |
401 | 401 |
1 |
Prime factors of 3609 are 3,401. Prime factorization of 3609 in exponential form is:
3609 = 32×4011
Now multiplying the highest exponent prime factors to calculate the LCM of 3602 and 3609.
LCM(3602,3609) = 21×32×4011×18011
LCM(3602,3609) = 12999618
Factors of 3602
List of positive integer factors of 3602 that divides 3602 without a remainder.
1, 2, 1801, 3602
Factors of 3609
List of positive integer factors of 3609 that divides 3609 without a remainder.
1, 3, 9, 401, 1203, 3609
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3602 and 3609, than apply into the LCM equation.
GCF(3602,3609) = 1
LCM(3602,3609) = ( 3602 × 3609) / 1
LCM(3602,3609) = 12999618 / 1
LCM(3602,3609) = 12999618
(i) The LCM of 3609 and 3602 is associative
LCM of 3602 and 3609 = LCM of 3609 and 3602
1. What is the LCM of 3602 and 3609?
Answer: LCM of 3602 and 3609 is 12999618.
2. What are the Factors of 3602?
Answer: Factors of 3602 are 1, 2, 1801, 3602. There are 4 integers that are factors of 3602. The greatest factor of 3602 is 3602.
3. What are the Factors of 3609?
Answer: Factors of 3609 are 1, 3, 9, 401, 1203, 3609. There are 6 integers that are factors of 3609. The greatest factor of 3609 is 3609.
4. How to Find the LCM of 3602 and 3609?
Answer:
Least Common Multiple of 3602 and 3609 = 12999618
Step 1: Find the prime factorization of 3602
3602 = 2 x 1801
Step 2: Find the prime factorization of 3609
3609 = 3 x 3 x 401
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12999618 = 2 x 3 x 3 x 401 x 1801
Step 4: Therefore, the least common multiple of 3602 and 3609 is 12999618.