Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2357 and 2362 the smallest integer that is 5567234 that is divisible by both numbers.
Least Common Multiple (LCM) of 2357 and 2362 is 5567234.
LCM(2357,2362) = 5567234
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 2357 and 2362. First we will calculate the prime factors of 2357 and 2362.
Prime Factorization of 2357
2357 | 2357 |
1 |
Prime factors of 2357 are 2357. Prime factorization of 2357 in exponential form is:
2357 = 23571
Prime Factorization of 2362
2 | 2362 |
1181 | 1181 |
1 |
Prime factors of 2362 are 2,1181. Prime factorization of 2362 in exponential form is:
2362 = 21×11811
Now multiplying the highest exponent prime factors to calculate the LCM of 2357 and 2362.
LCM(2357,2362) = 21×11811×23571
LCM(2357,2362) = 5567234
Factors of 2357
List of positive integer factors of 2357 that divides 2357 without a remainder.
1, 2357
Factors of 2362
List of positive integer factors of 2362 that divides 2362 without a remainder.
1, 2, 1181, 2362
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2357 and 2362, than apply into the LCM equation.
GCF(2357,2362) = 1
LCM(2357,2362) = ( 2357 × 2362) / 1
LCM(2357,2362) = 5567234 / 1
LCM(2357,2362) = 5567234
(i) The LCM of 2362 and 2357 is associative
LCM of 2357 and 2362 = LCM of 2362 and 2357
1. What is the LCM of 2357 and 2362?
Answer: LCM of 2357 and 2362 is 5567234.
2. What are the Factors of 2357?
Answer: Factors of 2357 are 1, 2357. There are 2 integers that are factors of 2357. The greatest factor of 2357 is 2357.
3. What are the Factors of 2362?
Answer: Factors of 2362 are 1, 2, 1181, 2362. There are 4 integers that are factors of 2362. The greatest factor of 2362 is 2362.
4. How to Find the LCM of 2357 and 2362?
Answer:
Least Common Multiple of 2357 and 2362 = 5567234
Step 1: Find the prime factorization of 2357
2357 = 2357
Step 2: Find the prime factorization of 2362
2362 = 2 x 1181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5567234 = 2 x 1181 x 2357
Step 4: Therefore, the least common multiple of 2357 and 2362 is 5567234.