Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 333 and 337 the smallest integer that is 112221 that is divisible by both numbers.
Least Common Multiple (LCM) of 333 and 337 is 112221.
LCM(333,337) = 112221
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 333 and 337. First we will calculate the prime factors of 333 and 337.
Prime Factorization of 333
3 | 333 |
3 | 111 |
37 | 37 |
1 |
Prime factors of 333 are 3,37. Prime factorization of 333 in exponential form is:
333 = 32×371
Prime Factorization of 337
337 | 337 |
1 |
Prime factors of 337 are 337. Prime factorization of 337 in exponential form is:
337 = 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 333 and 337.
LCM(333,337) = 32×371×3371
LCM(333,337) = 112221
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1, 337
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 333 and 337, than apply into the LCM equation.
GCF(333,337) = 1
LCM(333,337) = ( 333 × 337) / 1
LCM(333,337) = 112221 / 1
LCM(333,337) = 112221
(i) The LCM of 337 and 333 is associative
LCM of 333 and 337 = LCM of 337 and 333
1. What is the LCM of 333 and 337?
Answer: LCM of 333 and 337 is 112221.
2. What are the Factors of 333?
Answer: Factors of 333 are 1, 3, 9, 37, 111, 333. There are 6 integers that are factors of 333. The greatest factor of 333 is 333.
3. What are the Factors of 337?
Answer: Factors of 337 are 1, 337. There are 2 integers that are factors of 337. The greatest factor of 337 is 337.
4. How to Find the LCM of 333 and 337?
Answer:
Least Common Multiple of 333 and 337 = 112221
Step 1: Find the prime factorization of 333
333 = 3 x 3 x 37
Step 2: Find the prime factorization of 337
337 = 337
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 112221 = 3 x 3 x 37 x 337
Step 4: Therefore, the least common multiple of 333 and 337 is 112221.