Least Common Multiple of 3546 and 3551
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3546 and 3551 the smallest integer that is 12591846 that is divisible by both numbers.
Least Common Multiple (LCM) of 3546 and 3551 is 12591846.
LCM(3546,3551) = 12591846
LCM of 3546 and 3551
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3546 and 3551 by Prime method
- Least Common Multiple of 3546 and 3551 with GCF Formula
LCM of 3546 and 3551 is 12591846
Least common multiple can be found by multiplying the highest exponent prime factors of 3546 and 3551. First we will calculate the prime factors of 3546 and 3551.
Prime Factorization of 3546
| 2 | 3546 |
| 3 | 1773 |
| 3 | 591 |
| 197 | 197 |
| 1 |
Prime factors of 3546 are 2, 3,197. Prime factorization of 3546 in exponential form is:
3546 = 21×32×1971
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3546 and 3551.
LCM(3546,3551) = 21×32×531×671×1971
LCM(3546,3551) = 12591846
Factors of 3546
List of positive integer factors of 3546 that divides 3546 without a remainder.
1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773, 3546
Factors of 3551
List of positive integer factors of 3551 that divides 3551 without a remainder.
1, 53, 67, 3551
Least Common Multiple of 3546 and 3551 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3546 and 3551, than apply into the LCM equation.
GCF(3546,3551) = 1
LCM(3546,3551) = ( 3546 × 3551) / 1
LCM(3546,3551) = 12591846 / 1
LCM(3546,3551) = 12591846
Properties of LCM 3546 and 3551
(i) The LCM of 3551 and 3546 is associative
LCM of 3546 and 3551 = LCM of 3551 and 3546
Related Least Common Multiples of 3546
Related Least Common Multiples of 3551
Frequently Asked Questions on LCM of 3546 and 3551
1. What is the LCM of 3546 and 3551?
Answer: LCM of 3546 and 3551 is 12591846.
2. What are the Factors of 3546?
Answer: Factors of 3546 are 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773, 3546. There are 12 integers that are factors of 3546. The greatest factor of 3546 is 3546.
3. 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.
4. How to Find the LCM of 3546 and 3551?
Answer:
Least Common Multiple of 3546 and 3551 = 12591846
Step 1: Find the prime factorization of 3546
3546 = 2 x 3 x 3 x 197
Step 2: Find the prime factorization of 3551
3551 = 53 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12591846 = 2 x 3 x 3 x 53 x 67 x 197
Step 4: Therefore, the least common multiple of 3546 and 3551 is 12591846.