Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5348 and 5354 the smallest integer that is 14316596 that is divisible by both numbers.
Least Common Multiple (LCM) of 5348 and 5354 is 14316596.
LCM(5348,5354) = 14316596
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 5348 and 5354. First we will calculate the prime factors of 5348 and 5354.
Prime Factorization of 5348
2 | 5348 |
2 | 2674 |
7 | 1337 |
191 | 191 |
1 |
Prime factors of 5348 are 2, 7,191. Prime factorization of 5348 in exponential form is:
5348 = 22×71×1911
Prime Factorization of 5354
2 | 5354 |
2677 | 2677 |
1 |
Prime factors of 5354 are 2,2677. Prime factorization of 5354 in exponential form is:
5354 = 21×26771
Now multiplying the highest exponent prime factors to calculate the LCM of 5348 and 5354.
LCM(5348,5354) = 22×71×1911×26771
LCM(5348,5354) = 14316596
Factors of 5348
List of positive integer factors of 5348 that divides 5348 without a remainder.
1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348
Factors of 5354
List of positive integer factors of 5354 that divides 5354 without a remainder.
1, 2, 2677, 5354
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5348 and 5354, than apply into the LCM equation.
GCF(5348,5354) = 2
LCM(5348,5354) = ( 5348 × 5354) / 2
LCM(5348,5354) = 28633192 / 2
LCM(5348,5354) = 14316596
(i) The LCM of 5354 and 5348 is associative
LCM of 5348 and 5354 = LCM of 5354 and 5348
1. What is the LCM of 5348 and 5354?
Answer: LCM of 5348 and 5354 is 14316596.
2. What are the Factors of 5348?
Answer: Factors of 5348 are 1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348. There are 12 integers that are factors of 5348. The greatest factor of 5348 is 5348.
3. What are the Factors of 5354?
Answer: Factors of 5354 are 1, 2, 2677, 5354. There are 4 integers that are factors of 5354. The greatest factor of 5354 is 5354.
4. How to Find the LCM of 5348 and 5354?
Answer:
Least Common Multiple of 5348 and 5354 = 14316596
Step 1: Find the prime factorization of 5348
5348 = 2 x 2 x 7 x 191
Step 2: Find the prime factorization of 5354
5354 = 2 x 2677
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14316596 = 2 x 2 x 7 x 191 x 2677
Step 4: Therefore, the least common multiple of 5348 and 5354 is 14316596.