Least Common Multiple of 545 and 553
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 545 and 553 the smallest integer that is 301385 that is divisible by both numbers.
Least Common Multiple (LCM) of 545 and 553 is 301385.
LCM(545,553) = 301385
LCM of 545 and 553
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 545 and 553 by Prime method
- Least Common Multiple of 545 and 553 with GCF Formula
LCM of 545 and 553 is 301385
Least common multiple can be found by multiplying the highest exponent prime factors of 545 and 553. First we will calculate the prime factors of 545 and 553.
Prime Factorization of 545
| 5 | 545 |
| 109 | 109 |
| 1 |
Prime factors of 545 are 5,109. Prime factorization of 545 in exponential form is:
545 = 51×1091
Prime Factorization of 553
| 7 | 553 |
| 79 | 79 |
| 1 |
Prime factors of 553 are 7,79. Prime factorization of 553 in exponential form is:
553 = 71×791
Now multiplying the highest exponent prime factors to calculate the LCM of 545 and 553.
LCM(545,553) = 51×71×791×1091
LCM(545,553) = 301385
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Factors of 553
List of positive integer factors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Least Common Multiple of 545 and 553 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 545 and 553, than apply into the LCM equation.
GCF(545,553) = 1
LCM(545,553) = ( 545 × 553) / 1
LCM(545,553) = 301385 / 1
LCM(545,553) = 301385
Properties of LCM 545 and 553
(i) The LCM of 553 and 545 is associative
LCM of 545 and 553 = LCM of 553 and 545
Related Least Common Multiples of 545
Related Least Common Multiples of 553
Frequently Asked Questions on LCM of 545 and 553
1. What is the LCM of 545 and 553?
Answer: LCM of 545 and 553 is 301385.
2. What are the Factors of 545?
Answer: Factors of 545 are 1, 5, 109, 545. There are 4 integers that are factors of 545. The greatest factor of 545 is 545.
3. What are the Factors of 553?
Answer: Factors of 553 are 1, 7, 79, 553. There are 4 integers that are factors of 553. The greatest factor of 553 is 553.
4. How to Find the LCM of 545 and 553?
Answer:
Least Common Multiple of 545 and 553 = 301385
Step 1: Find the prime factorization of 545
545 = 5 x 109
Step 2: Find the prime factorization of 553
553 = 7 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 = 301385 = 5 x 7 x 79 x 109
Step 4: Therefore, the least common multiple of 545 and 553 is 301385.