Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8932 and 8937 the smallest integer that is 79825284 that is divisible by both numbers.
Least Common Multiple (LCM) of 8932 and 8937 is 79825284.
LCM(8932,8937) = 79825284
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 8932 and 8937. First we will calculate the prime factors of 8932 and 8937.
Prime Factorization of 8932
2 | 8932 |
2 | 4466 |
7 | 2233 |
11 | 319 |
29 | 29 |
1 |
Prime factors of 8932 are 2, 7, 11,29. Prime factorization of 8932 in exponential form is:
8932 = 22×71×111×291
Prime Factorization of 8937
3 | 8937 |
3 | 2979 |
3 | 993 |
331 | 331 |
1 |
Prime factors of 8937 are 3,331. Prime factorization of 8937 in exponential form is:
8937 = 33×3311
Now multiplying the highest exponent prime factors to calculate the LCM of 8932 and 8937.
LCM(8932,8937) = 22×33×71×111×291×3311
LCM(8932,8937) = 79825284
Factors of 8932
List of positive integer factors of 8932 that divides 8932 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 58, 77, 116, 154, 203, 308, 319, 406, 638, 812, 1276, 2233, 4466, 8932
Factors of 8937
List of positive integer factors of 8937 that divides 8937 without a remainder.
1, 3, 9, 27, 331, 993, 2979, 8937
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8932 and 8937, than apply into the LCM equation.
GCF(8932,8937) = 1
LCM(8932,8937) = ( 8932 × 8937) / 1
LCM(8932,8937) = 79825284 / 1
LCM(8932,8937) = 79825284
(i) The LCM of 8937 and 8932 is associative
LCM of 8932 and 8937 = LCM of 8937 and 8932
1. What is the LCM of 8932 and 8937?
Answer: LCM of 8932 and 8937 is 79825284.
2. What are the Factors of 8932?
Answer: Factors of 8932 are 1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 58, 77, 116, 154, 203, 308, 319, 406, 638, 812, 1276, 2233, 4466, 8932. There are 24 integers that are factors of 8932. The greatest factor of 8932 is 8932.
3. What are the Factors of 8937?
Answer: Factors of 8937 are 1, 3, 9, 27, 331, 993, 2979, 8937. There are 8 integers that are factors of 8937. The greatest factor of 8937 is 8937.
4. How to Find the LCM of 8932 and 8937?
Answer:
Least Common Multiple of 8932 and 8937 = 79825284
Step 1: Find the prime factorization of 8932
8932 = 2 x 2 x 7 x 11 x 29
Step 2: Find the prime factorization of 8937
8937 = 3 x 3 x 3 x 331
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 79825284 = 2 x 2 x 3 x 3 x 3 x 7 x 11 x 29 x 331
Step 4: Therefore, the least common multiple of 8932 and 8937 is 79825284.