Least Common Multiple of 545 and 551
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 551 the smallest integer that is 300295 that is divisible by both numbers.
Least Common Multiple (LCM) of 545 and 551 is 300295.
LCM(545,551) = 300295
LCM of 545 and 551
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 545 and 551 by Prime method
- Least Common Multiple of 545 and 551 with GCF Formula
LCM of 545 and 551 is 300295
Least common multiple can be found by multiplying the highest exponent prime factors of 545 and 551. First we will calculate the prime factors of 545 and 551.
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 551
| 19 | 551 |
| 29 | 29 |
| 1 |
Prime factors of 551 are 19,29. Prime factorization of 551 in exponential form is:
551 = 191×291
Now multiplying the highest exponent prime factors to calculate the LCM of 545 and 551.
LCM(545,551) = 51×191×291×1091
LCM(545,551) = 300295
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Least Common Multiple of 545 and 551 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 551, than apply into the LCM equation.
GCF(545,551) = 1
LCM(545,551) = ( 545 × 551) / 1
LCM(545,551) = 300295 / 1
LCM(545,551) = 300295
Properties of LCM 545 and 551
(i) The LCM of 551 and 545 is associative
LCM of 545 and 551 = LCM of 551 and 545
Related Least Common Multiples of 545
Related Least Common Multiples of 551
Frequently Asked Questions on LCM of 545 and 551
1. What is the LCM of 545 and 551?
Answer: LCM of 545 and 551 is 300295.
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 551?
Answer: Factors of 551 are 1, 19, 29, 551. There are 4 integers that are factors of 551. The greatest factor of 551 is 551.
4. How to Find the LCM of 545 and 551?
Answer:
Least Common Multiple of 545 and 551 = 300295
Step 1: Find the prime factorization of 545
545 = 5 x 109
Step 2: Find the prime factorization of 551
551 = 19 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 300295 = 5 x 19 x 29 x 109
Step 4: Therefore, the least common multiple of 545 and 551 is 300295.