Least Common Multiple of 3546 and 3553
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 3553 the smallest integer that is 12598938 that is divisible by both numbers.
Least Common Multiple (LCM) of 3546 and 3553 is 12598938.
LCM(3546,3553) = 12598938
LCM of 3546 and 3553
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3546 and 3553 by Prime method
- Least Common Multiple of 3546 and 3553 with GCF Formula
LCM of 3546 and 3553 is 12598938
Least common multiple can be found by multiplying the highest exponent prime factors of 3546 and 3553. First we will calculate the prime factors of 3546 and 3553.
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 3553
| 11 | 3553 |
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 3553 are 11, 17,19. Prime factorization of 3553 in exponential form is:
3553 = 111×171×191
Now multiplying the highest exponent prime factors to calculate the LCM of 3546 and 3553.
LCM(3546,3553) = 21×32×111×171×191×1971
LCM(3546,3553) = 12598938
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 3553
List of positive integer factors of 3553 that divides 3553 without a remainder.
1, 11, 17, 19, 187, 209, 323, 3553
Least Common Multiple of 3546 and 3553 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 3553, than apply into the LCM equation.
GCF(3546,3553) = 1
LCM(3546,3553) = ( 3546 × 3553) / 1
LCM(3546,3553) = 12598938 / 1
LCM(3546,3553) = 12598938
Properties of LCM 3546 and 3553
(i) The LCM of 3553 and 3546 is associative
LCM of 3546 and 3553 = LCM of 3553 and 3546
Related Least Common Multiples of 3546
Related Least Common Multiples of 3553
Frequently Asked Questions on LCM of 3546 and 3553
1. What is the LCM of 3546 and 3553?
Answer: LCM of 3546 and 3553 is 12598938.
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 3553?
Answer: Factors of 3553 are 1, 11, 17, 19, 187, 209, 323, 3553. There are 8 integers that are factors of 3553. The greatest factor of 3553 is 3553.
4. How to Find the LCM of 3546 and 3553?
Answer:
Least Common Multiple of 3546 and 3553 = 12598938
Step 1: Find the prime factorization of 3546
3546 = 2 x 3 x 3 x 197
Step 2: Find the prime factorization of 3553
3553 = 11 x 17 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12598938 = 2 x 3 x 3 x 11 x 17 x 19 x 197
Step 4: Therefore, the least common multiple of 3546 and 3553 is 12598938.