Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 330 and 337 the smallest integer that is 111210 that is divisible by both numbers.
Least Common Multiple (LCM) of 330 and 337 is 111210.
LCM(330,337) = 111210
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 330 and 337. First we will calculate the prime factors of 330 and 337.
Prime Factorization of 330
2 | 330 |
3 | 165 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 330 are 2, 3, 5,11. Prime factorization of 330 in exponential form is:
330 = 21×31×51×111
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 330 and 337.
LCM(330,337) = 21×31×51×111×3371
LCM(330,337) = 111210
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
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 330 and 337, than apply into the LCM equation.
GCF(330,337) = 1
LCM(330,337) = ( 330 × 337) / 1
LCM(330,337) = 111210 / 1
LCM(330,337) = 111210
(i) The LCM of 337 and 330 is associative
LCM of 330 and 337 = LCM of 337 and 330
1. What is the LCM of 330 and 337?
Answer: LCM of 330 and 337 is 111210.
2. What are the Factors of 330?
Answer: Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330. There are 16 integers that are factors of 330. The greatest factor of 330 is 330.
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 330 and 337?
Answer:
Least Common Multiple of 330 and 337 = 111210
Step 1: Find the prime factorization of 330
330 = 2 x 3 x 5 x 11
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 = 111210 = 2 x 3 x 5 x 11 x 337
Step 4: Therefore, the least common multiple of 330 and 337 is 111210.