Least Common Multiple of 3332 and 3337
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3332 and 3337 the smallest integer that is 11118884 that is divisible by both numbers.
Least Common Multiple (LCM) of 3332 and 3337 is 11118884.
LCM(3332,3337) = 11118884
LCM of 3332 and 3337
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3332 and 3337 by Prime method
- Least Common Multiple of 3332 and 3337 with GCF Formula
LCM of 3332 and 3337 is 11118884
Least common multiple can be found by multiplying the highest exponent prime factors of 3332 and 3337. First we will calculate the prime factors of 3332 and 3337.
Prime Factorization of 3332
| 2 | 3332 |
| 2 | 1666 |
| 7 | 833 |
| 7 | 119 |
| 17 | 17 |
| 1 |
Prime factors of 3332 are 2, 7,17. Prime factorization of 3332 in exponential form is:
3332 = 22×72×171
Prime Factorization of 3337
| 47 | 3337 |
| 71 | 71 |
| 1 |
Prime factors of 3337 are 47,71. Prime factorization of 3337 in exponential form is:
3337 = 471×711
Now multiplying the highest exponent prime factors to calculate the LCM of 3332 and 3337.
LCM(3332,3337) = 22×72×171×471×711
LCM(3332,3337) = 11118884
Factors of 3332
List of positive integer factors of 3332 that divides 3332 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666, 3332
Factors of 3337
List of positive integer factors of 3337 that divides 3337 without a remainder.
1, 47, 71, 3337
Least Common Multiple of 3332 and 3337 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3332 and 3337, than apply into the LCM equation.
GCF(3332,3337) = 1
LCM(3332,3337) = ( 3332 × 3337) / 1
LCM(3332,3337) = 11118884 / 1
LCM(3332,3337) = 11118884
Properties of LCM 3332 and 3337
(i) The LCM of 3337 and 3332 is associative
LCM of 3332 and 3337 = LCM of 3337 and 3332
Related Least Common Multiples of 3332
Related Least Common Multiples of 3337
Frequently Asked Questions on LCM of 3332 and 3337
1. What is the LCM of 3332 and 3337?
Answer: LCM of 3332 and 3337 is 11118884.
2. What are the Factors of 3332?
Answer: Factors of 3332 are 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666, 3332. There are 18 integers that are factors of 3332. The greatest factor of 3332 is 3332.
3. What are the Factors of 3337?
Answer: Factors of 3337 are 1, 47, 71, 3337. There are 4 integers that are factors of 3337. The greatest factor of 3337 is 3337.
4. How to Find the LCM of 3332 and 3337?
Answer:
Least Common Multiple of 3332 and 3337 = 11118884
Step 1: Find the prime factorization of 3332
3332 = 2 x 2 x 7 x 7 x 17
Step 2: Find the prime factorization of 3337
3337 = 47 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11118884 = 2 x 2 x 7 x 7 x 17 x 47 x 71
Step 4: Therefore, the least common multiple of 3332 and 3337 is 11118884.