Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 347 and 353 the smallest integer that is 122491 that is divisible by both numbers.
Least Common Multiple (LCM) of 347 and 353 is 122491.
LCM(347,353) = 122491
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 347 and 353. First we will calculate the prime factors of 347 and 353.
Prime Factorization of 347
347 | 347 |
1 |
Prime factors of 347 are 347. Prime factorization of 347 in exponential form is:
347 = 3471
Prime Factorization of 353
353 | 353 |
1 |
Prime factors of 353 are 353. Prime factorization of 353 in exponential form is:
353 = 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 347 and 353.
LCM(347,353) = 3471×3531
LCM(347,353) = 122491
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1, 347
Factors of 353
List of positive integer factors of 353 that divides 353 without a remainder.
1, 353
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 347 and 353, than apply into the LCM equation.
GCF(347,353) = 1
LCM(347,353) = ( 347 × 353) / 1
LCM(347,353) = 122491 / 1
LCM(347,353) = 122491
(i) The LCM of 353 and 347 is associative
LCM of 347 and 353 = LCM of 353 and 347
1. What is the LCM of 347 and 353?
Answer: LCM of 347 and 353 is 122491.
2. What are the Factors of 347?
Answer: Factors of 347 are 1, 347. There are 2 integers that are factors of 347. The greatest factor of 347 is 347.
3. What are the Factors of 353?
Answer: Factors of 353 are 1, 353. There are 2 integers that are factors of 353. The greatest factor of 353 is 353.
4. How to Find the LCM of 347 and 353?
Answer:
Least Common Multiple of 347 and 353 = 122491
Step 1: Find the prime factorization of 347
347 = 347
Step 2: Find the prime factorization of 353
353 = 353
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 122491 = 347 x 353
Step 4: Therefore, the least common multiple of 347 and 353 is 122491.