Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9353 and 9357 the smallest integer that is 87516021 that is divisible by both numbers.
Least Common Multiple (LCM) of 9353 and 9357 is 87516021.
LCM(9353,9357) = 87516021
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 9353 and 9357. First we will calculate the prime factors of 9353 and 9357.
Prime Factorization of 9353
47 | 9353 |
199 | 199 |
1 |
Prime factors of 9353 are 47,199. Prime factorization of 9353 in exponential form is:
9353 = 471×1991
Prime Factorization of 9357
3 | 9357 |
3119 | 3119 |
1 |
Prime factors of 9357 are 3,3119. Prime factorization of 9357 in exponential form is:
9357 = 31×31191
Now multiplying the highest exponent prime factors to calculate the LCM of 9353 and 9357.
LCM(9353,9357) = 31×471×1991×31191
LCM(9353,9357) = 87516021
Factors of 9353
List of positive integer factors of 9353 that divides 9353 without a remainder.
1, 47, 199, 9353
Factors of 9357
List of positive integer factors of 9357 that divides 9357 without a remainder.
1, 3, 3119, 9357
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9353 and 9357, than apply into the LCM equation.
GCF(9353,9357) = 1
LCM(9353,9357) = ( 9353 × 9357) / 1
LCM(9353,9357) = 87516021 / 1
LCM(9353,9357) = 87516021
(i) The LCM of 9357 and 9353 is associative
LCM of 9353 and 9357 = LCM of 9357 and 9353
1. What is the LCM of 9353 and 9357?
Answer: LCM of 9353 and 9357 is 87516021.
2. What are the Factors of 9353?
Answer: Factors of 9353 are 1, 47, 199, 9353. There are 4 integers that are factors of 9353. The greatest factor of 9353 is 9353.
3. What are the Factors of 9357?
Answer: Factors of 9357 are 1, 3, 3119, 9357. There are 4 integers that are factors of 9357. The greatest factor of 9357 is 9357.
4. How to Find the LCM of 9353 and 9357?
Answer:
Least Common Multiple of 9353 and 9357 = 87516021
Step 1: Find the prime factorization of 9353
9353 = 47 x 199
Step 2: Find the prime factorization of 9357
9357 = 3 x 3119
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87516021 = 3 x 47 x 199 x 3119
Step 4: Therefore, the least common multiple of 9353 and 9357 is 87516021.