Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3561 and 3567 the smallest integer that is 4234029 that is divisible by both numbers.
Least Common Multiple (LCM) of 3561 and 3567 is 4234029.
LCM(3561,3567) = 4234029
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 3561 and 3567. First we will calculate the prime factors of 3561 and 3567.
Prime Factorization of 3561
3 | 3561 |
1187 | 1187 |
1 |
Prime factors of 3561 are 3,1187. Prime factorization of 3561 in exponential form is:
3561 = 31×11871
Prime Factorization of 3567
3 | 3567 |
29 | 1189 |
41 | 41 |
1 |
Prime factors of 3567 are 3, 29,41. Prime factorization of 3567 in exponential form is:
3567 = 31×291×411
Now multiplying the highest exponent prime factors to calculate the LCM of 3561 and 3567.
LCM(3561,3567) = 31×291×411×11871
LCM(3561,3567) = 4234029
Factors of 3561
List of positive integer factors of 3561 that divides 3561 without a remainder.
1, 3, 1187, 3561
Factors of 3567
List of positive integer factors of 3567 that divides 3567 without a remainder.
1, 3, 29, 41, 87, 123, 1189, 3567
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3561 and 3567, than apply into the LCM equation.
GCF(3561,3567) = 3
LCM(3561,3567) = ( 3561 × 3567) / 3
LCM(3561,3567) = 12702087 / 3
LCM(3561,3567) = 4234029
(i) The LCM of 3567 and 3561 is associative
LCM of 3561 and 3567 = LCM of 3567 and 3561
1. What is the LCM of 3561 and 3567?
Answer: LCM of 3561 and 3567 is 4234029.
2. What are the Factors of 3561?
Answer: Factors of 3561 are 1, 3, 1187, 3561. There are 4 integers that are factors of 3561. The greatest factor of 3561 is 3561.
3. What are the Factors of 3567?
Answer: Factors of 3567 are 1, 3, 29, 41, 87, 123, 1189, 3567. There are 8 integers that are factors of 3567. The greatest factor of 3567 is 3567.
4. How to Find the LCM of 3561 and 3567?
Answer:
Least Common Multiple of 3561 and 3567 = 4234029
Step 1: Find the prime factorization of 3561
3561 = 3 x 1187
Step 2: Find the prime factorization of 3567
3567 = 3 x 29 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4234029 = 3 x 29 x 41 x 1187
Step 4: Therefore, the least common multiple of 3561 and 3567 is 4234029.