Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5294 and 5302 the smallest integer that is 14034394 that is divisible by both numbers.
Least Common Multiple (LCM) of 5294 and 5302 is 14034394.
LCM(5294,5302) = 14034394
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 5294 and 5302. First we will calculate the prime factors of 5294 and 5302.
Prime Factorization of 5294
2 | 5294 |
2647 | 2647 |
1 |
Prime factors of 5294 are 2,2647. Prime factorization of 5294 in exponential form is:
5294 = 21×26471
Prime Factorization of 5302
2 | 5302 |
11 | 2651 |
241 | 241 |
1 |
Prime factors of 5302 are 2, 11,241. Prime factorization of 5302 in exponential form is:
5302 = 21×111×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 5294 and 5302.
LCM(5294,5302) = 21×111×2411×26471
LCM(5294,5302) = 14034394
Factors of 5294
List of positive integer factors of 5294 that divides 5294 without a remainder.
1, 2, 2647, 5294
Factors of 5302
List of positive integer factors of 5302 that divides 5302 without a remainder.
1, 2, 11, 22, 241, 482, 2651, 5302
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5294 and 5302, than apply into the LCM equation.
GCF(5294,5302) = 2
LCM(5294,5302) = ( 5294 × 5302) / 2
LCM(5294,5302) = 28068788 / 2
LCM(5294,5302) = 14034394
(i) The LCM of 5302 and 5294 is associative
LCM of 5294 and 5302 = LCM of 5302 and 5294
1. What is the LCM of 5294 and 5302?
Answer: LCM of 5294 and 5302 is 14034394.
2. What are the Factors of 5294?
Answer: Factors of 5294 are 1, 2, 2647, 5294. There are 4 integers that are factors of 5294. The greatest factor of 5294 is 5294.
3. What are the Factors of 5302?
Answer: Factors of 5302 are 1, 2, 11, 22, 241, 482, 2651, 5302. There are 8 integers that are factors of 5302. The greatest factor of 5302 is 5302.
4. How to Find the LCM of 5294 and 5302?
Answer:
Least Common Multiple of 5294 and 5302 = 14034394
Step 1: Find the prime factorization of 5294
5294 = 2 x 2647
Step 2: Find the prime factorization of 5302
5302 = 2 x 11 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14034394 = 2 x 11 x 241 x 2647
Step 4: Therefore, the least common multiple of 5294 and 5302 is 14034394.