Least Common Multiple of 355 and 359
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 355 and 359 the smallest integer that is 127445 that is divisible by both numbers.
Least Common Multiple (LCM) of 355 and 359 is 127445.
LCM(355,359) = 127445
LCM of 355 and 359
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 355 and 359 by Prime method
- Least Common Multiple of 355 and 359 with GCF Formula
LCM of 355 and 359 is 127445
Least common multiple can be found by multiplying the highest exponent prime factors of 355 and 359. First we will calculate the prime factors of 355 and 359.
Prime Factorization of 355
| 5 | 355 |
| 71 | 71 |
| 1 |
Prime factors of 355 are 5,71. Prime factorization of 355 in exponential form is:
355 = 51×711
Prime Factorization of 359
| 359 | 359 |
| 1 |
Prime factors of 359 are 359. Prime factorization of 359 in exponential form is:
359 = 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 355 and 359.
LCM(355,359) = 51×711×3591
LCM(355,359) = 127445
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1, 359
Least Common Multiple of 355 and 359 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 355 and 359, than apply into the LCM equation.
GCF(355,359) = 1
LCM(355,359) = ( 355 × 359) / 1
LCM(355,359) = 127445 / 1
LCM(355,359) = 127445
Properties of LCM 355 and 359
(i) The LCM of 359 and 355 is associative
LCM of 355 and 359 = LCM of 359 and 355
Related Least Common Multiples of 355
Related Least Common Multiples of 359
Frequently Asked Questions on LCM of 355 and 359
1. What is the LCM of 355 and 359?
Answer: LCM of 355 and 359 is 127445.
2. What are the Factors of 355?
Answer: Factors of 355 are 1, 5, 71, 355. There are 4 integers that are factors of 355. The greatest factor of 355 is 355.
3. What are the Factors of 359?
Answer: Factors of 359 are 1, 359. There are 2 integers that are factors of 359. The greatest factor of 359 is 359.
4. How to Find the LCM of 355 and 359?
Answer:
Least Common Multiple of 355 and 359 = 127445
Step 1: Find the prime factorization of 355
355 = 5 x 71
Step 2: Find the prime factorization of 359
359 = 359
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 127445 = 5 x 71 x 359
Step 4: Therefore, the least common multiple of 355 and 359 is 127445.
