Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9348 and 9352 the smallest integer that is 21855624 that is divisible by both numbers.
Least Common Multiple (LCM) of 9348 and 9352 is 21855624.
LCM(9348,9352) = 21855624
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 9348 and 9352. First we will calculate the prime factors of 9348 and 9352.
Prime Factorization of 9348
2 | 9348 |
2 | 4674 |
3 | 2337 |
19 | 779 |
41 | 41 |
1 |
Prime factors of 9348 are 2, 3, 19,41. Prime factorization of 9348 in exponential form is:
9348 = 22×31×191×411
Prime Factorization of 9352
2 | 9352 |
2 | 4676 |
2 | 2338 |
7 | 1169 |
167 | 167 |
1 |
Prime factors of 9352 are 2, 7,167. Prime factorization of 9352 in exponential form is:
9352 = 23×71×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 9348 and 9352.
LCM(9348,9352) = 23×31×71×191×411×1671
LCM(9348,9352) = 21855624
Factors of 9348
List of positive integer factors of 9348 that divides 9348 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 41, 57, 76, 82, 114, 123, 164, 228, 246, 492, 779, 1558, 2337, 3116, 4674, 9348
Factors of 9352
List of positive integer factors of 9352 that divides 9352 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56, 167, 334, 668, 1169, 1336, 2338, 4676, 9352
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9348 and 9352, than apply into the LCM equation.
GCF(9348,9352) = 4
LCM(9348,9352) = ( 9348 × 9352) / 4
LCM(9348,9352) = 87422496 / 4
LCM(9348,9352) = 21855624
(i) The LCM of 9352 and 9348 is associative
LCM of 9348 and 9352 = LCM of 9352 and 9348
1. What is the LCM of 9348 and 9352?
Answer: LCM of 9348 and 9352 is 21855624.
2. What are the Factors of 9348?
Answer: Factors of 9348 are 1, 2, 3, 4, 6, 12, 19, 38, 41, 57, 76, 82, 114, 123, 164, 228, 246, 492, 779, 1558, 2337, 3116, 4674, 9348. There are 24 integers that are factors of 9348. The greatest factor of 9348 is 9348.
3. What are the Factors of 9352?
Answer: Factors of 9352 are 1, 2, 4, 7, 8, 14, 28, 56, 167, 334, 668, 1169, 1336, 2338, 4676, 9352. There are 16 integers that are factors of 9352. The greatest factor of 9352 is 9352.
4. How to Find the LCM of 9348 and 9352?
Answer:
Least Common Multiple of 9348 and 9352 = 21855624
Step 1: Find the prime factorization of 9348
9348 = 2 x 2 x 3 x 19 x 41
Step 2: Find the prime factorization of 9352
9352 = 2 x 2 x 2 x 7 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21855624 = 2 x 2 x 2 x 3 x 7 x 19 x 41 x 167
Step 4: Therefore, the least common multiple of 9348 and 9352 is 21855624.