Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1936 and 1943 the smallest integer that is 3761648 that is divisible by both numbers.
Least Common Multiple (LCM) of 1936 and 1943 is 3761648.
LCM(1936,1943) = 3761648
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 1936 and 1943. First we will calculate the prime factors of 1936 and 1943.
Prime Factorization of 1936
2 | 1936 |
2 | 968 |
2 | 484 |
2 | 242 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 1936 are 2,11. Prime factorization of 1936 in exponential form is:
1936 = 24×112
Prime Factorization of 1943
29 | 1943 |
67 | 67 |
1 |
Prime factors of 1943 are 29,67. Prime factorization of 1943 in exponential form is:
1943 = 291×671
Now multiplying the highest exponent prime factors to calculate the LCM of 1936 and 1943.
LCM(1936,1943) = 24×112×291×671
LCM(1936,1943) = 3761648
Factors of 1936
List of positive integer factors of 1936 that divides 1936 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936
Factors of 1943
List of positive integer factors of 1943 that divides 1943 without a remainder.
1, 29, 67, 1943
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1936 and 1943, than apply into the LCM equation.
GCF(1936,1943) = 1
LCM(1936,1943) = ( 1936 × 1943) / 1
LCM(1936,1943) = 3761648 / 1
LCM(1936,1943) = 3761648
(i) The LCM of 1943 and 1936 is associative
LCM of 1936 and 1943 = LCM of 1943 and 1936
1. What is the LCM of 1936 and 1943?
Answer: LCM of 1936 and 1943 is 3761648.
2. What are the Factors of 1936?
Answer: Factors of 1936 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936. There are 15 integers that are factors of 1936. The greatest factor of 1936 is 1936.
3. What are the Factors of 1943?
Answer: Factors of 1943 are 1, 29, 67, 1943. There are 4 integers that are factors of 1943. The greatest factor of 1943 is 1943.
4. How to Find the LCM of 1936 and 1943?
Answer:
Least Common Multiple of 1936 and 1943 = 3761648
Step 1: Find the prime factorization of 1936
1936 = 2 x 2 x 2 x 2 x 11 x 11
Step 2: Find the prime factorization of 1943
1943 = 29 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3761648 = 2 x 2 x 2 x 2 x 11 x 11 x 29 x 67
Step 4: Therefore, the least common multiple of 1936 and 1943 is 3761648.