Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9378 and 9382 the smallest integer that is 43992198 that is divisible by both numbers.
Least Common Multiple (LCM) of 9378 and 9382 is 43992198.
LCM(9378,9382) = 43992198
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 9378 and 9382. First we will calculate the prime factors of 9378 and 9382.
Prime Factorization of 9378
2 | 9378 |
3 | 4689 |
3 | 1563 |
521 | 521 |
1 |
Prime factors of 9378 are 2, 3,521. Prime factorization of 9378 in exponential form is:
9378 = 21×32×5211
Prime Factorization of 9382
2 | 9382 |
4691 | 4691 |
1 |
Prime factors of 9382 are 2,4691. Prime factorization of 9382 in exponential form is:
9382 = 21×46911
Now multiplying the highest exponent prime factors to calculate the LCM of 9378 and 9382.
LCM(9378,9382) = 21×32×5211×46911
LCM(9378,9382) = 43992198
Factors of 9378
List of positive integer factors of 9378 that divides 9378 without a remainder.
1, 2, 3, 6, 9, 18, 521, 1042, 1563, 3126, 4689, 9378
Factors of 9382
List of positive integer factors of 9382 that divides 9382 without a remainder.
1, 2, 4691, 9382
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9378 and 9382, than apply into the LCM equation.
GCF(9378,9382) = 2
LCM(9378,9382) = ( 9378 × 9382) / 2
LCM(9378,9382) = 87984396 / 2
LCM(9378,9382) = 43992198
(i) The LCM of 9382 and 9378 is associative
LCM of 9378 and 9382 = LCM of 9382 and 9378
1. What is the LCM of 9378 and 9382?
Answer: LCM of 9378 and 9382 is 43992198.
2. What are the Factors of 9378?
Answer: Factors of 9378 are 1, 2, 3, 6, 9, 18, 521, 1042, 1563, 3126, 4689, 9378. There are 12 integers that are factors of 9378. The greatest factor of 9378 is 9378.
3. What are the Factors of 9382?
Answer: Factors of 9382 are 1, 2, 4691, 9382. There are 4 integers that are factors of 9382. The greatest factor of 9382 is 9382.
4. How to Find the LCM of 9378 and 9382?
Answer:
Least Common Multiple of 9378 and 9382 = 43992198
Step 1: Find the prime factorization of 9378
9378 = 2 x 3 x 3 x 521
Step 2: Find the prime factorization of 9382
9382 = 2 x 4691
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43992198 = 2 x 3 x 3 x 521 x 4691
Step 4: Therefore, the least common multiple of 9378 and 9382 is 43992198.