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 362 the smallest integer that is 128510 that is divisible by both numbers.
Least Common Multiple (LCM) of 355 and 362 is 128510.
LCM(355,362) = 128510
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 355 and 362. First we will calculate the prime factors of 355 and 362.
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 362
2 | 362 |
181 | 181 |
1 |
Prime factors of 362 are 2,181. Prime factorization of 362 in exponential form is:
362 = 21×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 355 and 362.
LCM(355,362) = 21×51×711×1811
LCM(355,362) = 128510
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1, 2, 181, 362
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 355 and 362, than apply into the LCM equation.
GCF(355,362) = 1
LCM(355,362) = ( 355 × 362) / 1
LCM(355,362) = 128510 / 1
LCM(355,362) = 128510
(i) The LCM of 362 and 355 is associative
LCM of 355 and 362 = LCM of 362 and 355
1. What is the LCM of 355 and 362?
Answer: LCM of 355 and 362 is 128510.
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 362?
Answer: Factors of 362 are 1, 2, 181, 362. There are 4 integers that are factors of 362. The greatest factor of 362 is 362.
4. How to Find the LCM of 355 and 362?
Answer:
Least Common Multiple of 355 and 362 = 128510
Step 1: Find the prime factorization of 355
355 = 5 x 71
Step 2: Find the prime factorization of 362
362 = 2 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 128510 = 2 x 5 x 71 x 181
Step 4: Therefore, the least common multiple of 355 and 362 is 128510.