Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 328 and 332 the smallest integer that is 27224 that is divisible by both numbers.
Least Common Multiple (LCM) of 328 and 332 is 27224.
LCM(328,332) = 27224
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 328 and 332. First we will calculate the prime factors of 328 and 332.
Prime Factorization of 328
2 | 328 |
2 | 164 |
2 | 82 |
41 | 41 |
1 |
Prime factors of 328 are 2,41. Prime factorization of 328 in exponential form is:
328 = 23×411
Prime Factorization of 332
2 | 332 |
2 | 166 |
83 | 83 |
1 |
Prime factors of 332 are 2,83. Prime factorization of 332 in exponential form is:
332 = 22×831
Now multiplying the highest exponent prime factors to calculate the LCM of 328 and 332.
LCM(328,332) = 23×411×831
LCM(328,332) = 27224
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 328 and 332, than apply into the LCM equation.
GCF(328,332) = 4
LCM(328,332) = ( 328 × 332) / 4
LCM(328,332) = 108896 / 4
LCM(328,332) = 27224
(i) The LCM of 332 and 328 is associative
LCM of 328 and 332 = LCM of 332 and 328
1. What is the LCM of 328 and 332?
Answer: LCM of 328 and 332 is 27224.
2. What are the Factors of 328?
Answer: Factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328. There are 8 integers that are factors of 328. The greatest factor of 328 is 328.
3. What are the Factors of 332?
Answer: Factors of 332 are 1, 2, 4, 83, 166, 332. There are 6 integers that are factors of 332. The greatest factor of 332 is 332.
4. How to Find the LCM of 328 and 332?
Answer:
Least Common Multiple of 328 and 332 = 27224
Step 1: Find the prime factorization of 328
328 = 2 x 2 x 2 x 41
Step 2: Find the prime factorization of 332
332 = 2 x 2 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27224 = 2 x 2 x 2 x 41 x 83
Step 4: Therefore, the least common multiple of 328 and 332 is 27224.