Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3597 and 3602 the smallest integer that is 12956394 that is divisible by both numbers.
Least Common Multiple (LCM) of 3597 and 3602 is 12956394.
LCM(3597,3602) = 12956394
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 3597 and 3602. First we will calculate the prime factors of 3597 and 3602.
Prime Factorization of 3597
3 | 3597 |
11 | 1199 |
109 | 109 |
1 |
Prime factors of 3597 are 3, 11,109. Prime factorization of 3597 in exponential form is:
3597 = 31×111×1091
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3597 and 3602.
LCM(3597,3602) = 21×31×111×1091×18011
LCM(3597,3602) = 12956394
Factors of 3597
List of positive integer factors of 3597 that divides 3597 without a remainder.
1, 3, 11, 33, 109, 327, 1199, 3597
Factors of 3602
List of positive integer factors of 3602 that divides 3602 without a remainder.
1, 2, 1801, 3602
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3597 and 3602, than apply into the LCM equation.
GCF(3597,3602) = 1
LCM(3597,3602) = ( 3597 × 3602) / 1
LCM(3597,3602) = 12956394 / 1
LCM(3597,3602) = 12956394
(i) The LCM of 3602 and 3597 is associative
LCM of 3597 and 3602 = LCM of 3602 and 3597
1. What is the LCM of 3597 and 3602?
Answer: LCM of 3597 and 3602 is 12956394.
2. What are the Factors of 3597?
Answer: Factors of 3597 are 1, 3, 11, 33, 109, 327, 1199, 3597. There are 8 integers that are factors of 3597. The greatest factor of 3597 is 3597.
3. 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.
4. How to Find the LCM of 3597 and 3602?
Answer:
Least Common Multiple of 3597 and 3602 = 12956394
Step 1: Find the prime factorization of 3597
3597 = 3 x 11 x 109
Step 2: Find the prime factorization of 3602
3602 = 2 x 1801
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12956394 = 2 x 3 x 11 x 109 x 1801
Step 4: Therefore, the least common multiple of 3597 and 3602 is 12956394.