Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3551 and 3555 the smallest integer that is 12623805 that is divisible by both numbers.
Least Common Multiple (LCM) of 3551 and 3555 is 12623805.
LCM(3551,3555) = 12623805
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 3551 and 3555. First we will calculate the prime factors of 3551 and 3555.
Prime Factorization of 3551
53 | 3551 |
67 | 67 |
1 |
Prime factors of 3551 are 53,67. Prime factorization of 3551 in exponential form is:
3551 = 531×671
Prime Factorization of 3555
3 | 3555 |
3 | 1185 |
5 | 395 |
79 | 79 |
1 |
Prime factors of 3555 are 3, 5,79. Prime factorization of 3555 in exponential form is:
3555 = 32×51×791
Now multiplying the highest exponent prime factors to calculate the LCM of 3551 and 3555.
LCM(3551,3555) = 32×51×531×671×791
LCM(3551,3555) = 12623805
Factors of 3551
List of positive integer factors of 3551 that divides 3551 without a remainder.
1, 53, 67, 3551
Factors of 3555
List of positive integer factors of 3555 that divides 3555 without a remainder.
1, 3, 5, 9, 15, 45, 79, 237, 395, 711, 1185, 3555
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3551 and 3555, than apply into the LCM equation.
GCF(3551,3555) = 1
LCM(3551,3555) = ( 3551 × 3555) / 1
LCM(3551,3555) = 12623805 / 1
LCM(3551,3555) = 12623805
(i) The LCM of 3555 and 3551 is associative
LCM of 3551 and 3555 = LCM of 3555 and 3551
1. What is the LCM of 3551 and 3555?
Answer: LCM of 3551 and 3555 is 12623805.
2. What are the Factors of 3551?
Answer: Factors of 3551 are 1, 53, 67, 3551. There are 4 integers that are factors of 3551. The greatest factor of 3551 is 3551.
3. What are the Factors of 3555?
Answer: Factors of 3555 are 1, 3, 5, 9, 15, 45, 79, 237, 395, 711, 1185, 3555. There are 12 integers that are factors of 3555. The greatest factor of 3555 is 3555.
4. How to Find the LCM of 3551 and 3555?
Answer:
Least Common Multiple of 3551 and 3555 = 12623805
Step 1: Find the prime factorization of 3551
3551 = 53 x 67
Step 2: Find the prime factorization of 3555
3555 = 3 x 3 x 5 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12623805 = 3 x 3 x 5 x 53 x 67 x 79
Step 4: Therefore, the least common multiple of 3551 and 3555 is 12623805.