Least Common Multiple of 1938 and 1943
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1938 and 1943 the smallest integer that is 3765534 that is divisible by both numbers.
Least Common Multiple (LCM) of 1938 and 1943 is 3765534.
LCM(1938,1943) = 3765534
LCM of 1938 and 1943
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1938 and 1943 by Prime method
- Least Common Multiple of 1938 and 1943 with GCF Formula
LCM of 1938 and 1943 is 3765534
Least common multiple can be found by multiplying the highest exponent prime factors of 1938 and 1943. First we will calculate the prime factors of 1938 and 1943.
Prime Factorization of 1938
| 2 | 1938 |
| 3 | 969 |
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 1938 are 2, 3, 17,19. Prime factorization of 1938 in exponential form is:
1938 = 21×31×171×191
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 1938 and 1943.
LCM(1938,1943) = 21×31×171×191×291×671
LCM(1938,1943) = 3765534
Factors of 1938
List of positive integer factors of 1938 that divides 1938 without a remainder.
1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938
Factors of 1943
List of positive integer factors of 1943 that divides 1943 without a remainder.
1, 29, 67, 1943
Least Common Multiple of 1938 and 1943 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1938 and 1943, than apply into the LCM equation.
GCF(1938,1943) = 1
LCM(1938,1943) = ( 1938 × 1943) / 1
LCM(1938,1943) = 3765534 / 1
LCM(1938,1943) = 3765534
Properties of LCM 1938 and 1943
(i) The LCM of 1943 and 1938 is associative
LCM of 1938 and 1943 = LCM of 1943 and 1938
Related Least Common Multiples of 1938
Related Least Common Multiples of 1943
Frequently Asked Questions on LCM of 1938 and 1943
1. What is the LCM of 1938 and 1943?
Answer: LCM of 1938 and 1943 is 3765534.
2. What are the Factors of 1938?
Answer: Factors of 1938 are 1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938. There are 16 integers that are factors of 1938. The greatest factor of 1938 is 1938.
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 1938 and 1943?
Answer:
Least Common Multiple of 1938 and 1943 = 3765534
Step 1: Find the prime factorization of 1938
1938 = 2 x 3 x 17 x 19
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 = 3765534 = 2 x 3 x 17 x 19 x 29 x 67
Step 4: Therefore, the least common multiple of 1938 and 1943 is 3765534.