Least Common Multiple of 1932 and 1939
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1932 and 1939 the smallest integer that is 535164 that is divisible by both numbers.
Least Common Multiple (LCM) of 1932 and 1939 is 535164.
LCM(1932,1939) = 535164
LCM of 1932 and 1939
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1932 and 1939 by Prime method
- Least Common Multiple of 1932 and 1939 with GCF Formula
LCM of 1932 and 1939 is 535164
Least common multiple can be found by multiplying the highest exponent prime factors of 1932 and 1939. First we will calculate the prime factors of 1932 and 1939.
Prime Factorization of 1932
| 2 | 1932 |
| 2 | 966 |
| 3 | 483 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 1932 are 2, 3, 7,23. Prime factorization of 1932 in exponential form is:
1932 = 22×31×71×231
Prime Factorization of 1939
| 7 | 1939 |
| 277 | 277 |
| 1 |
Prime factors of 1939 are 7,277. Prime factorization of 1939 in exponential form is:
1939 = 71×2771
Now multiplying the highest exponent prime factors to calculate the LCM of 1932 and 1939.
LCM(1932,1939) = 22×31×71×231×2771
LCM(1932,1939) = 535164
Factors of 1932
List of positive integer factors of 1932 that divides 1932 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932
Factors of 1939
List of positive integer factors of 1939 that divides 1939 without a remainder.
1, 7, 277, 1939
Least Common Multiple of 1932 and 1939 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1932 and 1939, than apply into the LCM equation.
GCF(1932,1939) = 7
LCM(1932,1939) = ( 1932 × 1939) / 7
LCM(1932,1939) = 3746148 / 7
LCM(1932,1939) = 535164
Properties of LCM 1932 and 1939
(i) The LCM of 1939 and 1932 is associative
LCM of 1932 and 1939 = LCM of 1939 and 1932
Related Least Common Multiples of 1932
Related Least Common Multiples of 1939
Frequently Asked Questions on LCM of 1932 and 1939
1. What is the LCM of 1932 and 1939?
Answer: LCM of 1932 and 1939 is 535164.
2. What are the Factors of 1932?
Answer: Factors of 1932 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932. There are 24 integers that are factors of 1932. The greatest factor of 1932 is 1932.
3. What are the Factors of 1939?
Answer: Factors of 1939 are 1, 7, 277, 1939. There are 4 integers that are factors of 1939. The greatest factor of 1939 is 1939.
4. How to Find the LCM of 1932 and 1939?
Answer:
Least Common Multiple of 1932 and 1939 = 535164
Step 1: Find the prime factorization of 1932
1932 = 2 x 2 x 3 x 7 x 23
Step 2: Find the prime factorization of 1939
1939 = 7 x 277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 535164 = 2 x 2 x 3 x 7 x 23 x 277
Step 4: Therefore, the least common multiple of 1932 and 1939 is 535164.
