Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1928 and 1933 the smallest integer that is 3726824 that is divisible by both numbers.
Least Common Multiple (LCM) of 1928 and 1933 is 3726824.
LCM(1928,1933) = 3726824
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 1928 and 1933. First we will calculate the prime factors of 1928 and 1933.
Prime Factorization of 1928
2 | 1928 |
2 | 964 |
2 | 482 |
241 | 241 |
1 |
Prime factors of 1928 are 2,241. Prime factorization of 1928 in exponential form is:
1928 = 23×2411
Prime Factorization of 1933
1933 | 1933 |
1 |
Prime factors of 1933 are 1933. Prime factorization of 1933 in exponential form is:
1933 = 19331
Now multiplying the highest exponent prime factors to calculate the LCM of 1928 and 1933.
LCM(1928,1933) = 23×2411×19331
LCM(1928,1933) = 3726824
Factors of 1928
List of positive integer factors of 1928 that divides 1928 without a remainder.
1, 2, 4, 8, 241, 482, 964, 1928
Factors of 1933
List of positive integer factors of 1933 that divides 1933 without a remainder.
1, 1933
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1928 and 1933, than apply into the LCM equation.
GCF(1928,1933) = 1
LCM(1928,1933) = ( 1928 × 1933) / 1
LCM(1928,1933) = 3726824 / 1
LCM(1928,1933) = 3726824
(i) The LCM of 1933 and 1928 is associative
LCM of 1928 and 1933 = LCM of 1933 and 1928
1. What is the LCM of 1928 and 1933?
Answer: LCM of 1928 and 1933 is 3726824.
2. What are the Factors of 1928?
Answer: Factors of 1928 are 1, 2, 4, 8, 241, 482, 964, 1928. There are 8 integers that are factors of 1928. The greatest factor of 1928 is 1928.
3. What are the Factors of 1933?
Answer: Factors of 1933 are 1, 1933. There are 2 integers that are factors of 1933. The greatest factor of 1933 is 1933.
4. How to Find the LCM of 1928 and 1933?
Answer:
Least Common Multiple of 1928 and 1933 = 3726824
Step 1: Find the prime factorization of 1928
1928 = 2 x 2 x 2 x 241
Step 2: Find the prime factorization of 1933
1933 = 1933
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3726824 = 2 x 2 x 2 x 241 x 1933
Step 4: Therefore, the least common multiple of 1928 and 1933 is 3726824.