Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1926 and 1928 the smallest integer that is 1856664 that is divisible by both numbers.
Least Common Multiple (LCM) of 1926 and 1928 is 1856664.
LCM(1926,1928) = 1856664
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 1926 and 1928. First we will calculate the prime factors of 1926 and 1928.
Prime Factorization of 1926
2 | 1926 |
3 | 963 |
3 | 321 |
107 | 107 |
1 |
Prime factors of 1926 are 2, 3,107. Prime factorization of 1926 in exponential form is:
1926 = 21×32×1071
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1926 and 1928.
LCM(1926,1928) = 23×32×1071×2411
LCM(1926,1928) = 1856664
Factors of 1926
List of positive integer factors of 1926 that divides 1926 without a remainder.
1, 2, 3, 6, 9, 18, 107, 214, 321, 642, 963, 1926
Factors of 1928
List of positive integer factors of 1928 that divides 1928 without a remainder.
1, 2, 4, 8, 241, 482, 964, 1928
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1926 and 1928, than apply into the LCM equation.
GCF(1926,1928) = 2
LCM(1926,1928) = ( 1926 × 1928) / 2
LCM(1926,1928) = 3713328 / 2
LCM(1926,1928) = 1856664
(i) The LCM of 1928 and 1926 is associative
LCM of 1926 and 1928 = LCM of 1928 and 1926
1. What is the LCM of 1926 and 1928?
Answer: LCM of 1926 and 1928 is 1856664.
2. What are the Factors of 1926?
Answer: Factors of 1926 are 1, 2, 3, 6, 9, 18, 107, 214, 321, 642, 963, 1926. There are 12 integers that are factors of 1926. The greatest factor of 1926 is 1926.
3. 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.
4. How to Find the LCM of 1926 and 1928?
Answer:
Least Common Multiple of 1926 and 1928 = 1856664
Step 1: Find the prime factorization of 1926
1926 = 2 x 3 x 3 x 107
Step 2: Find the prime factorization of 1928
1928 = 2 x 2 x 2 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1856664 = 2 x 2 x 2 x 3 x 3 x 107 x 241
Step 4: Therefore, the least common multiple of 1926 and 1928 is 1856664.