Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5314 and 5322 the smallest integer that is 14140554 that is divisible by both numbers.
Least Common Multiple (LCM) of 5314 and 5322 is 14140554.
LCM(5314,5322) = 14140554
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 5314 and 5322. First we will calculate the prime factors of 5314 and 5322.
Prime Factorization of 5314
2 | 5314 |
2657 | 2657 |
1 |
Prime factors of 5314 are 2,2657. Prime factorization of 5314 in exponential form is:
5314 = 21×26571
Prime Factorization of 5322
2 | 5322 |
3 | 2661 |
887 | 887 |
1 |
Prime factors of 5322 are 2, 3,887. Prime factorization of 5322 in exponential form is:
5322 = 21×31×8871
Now multiplying the highest exponent prime factors to calculate the LCM of 5314 and 5322.
LCM(5314,5322) = 21×31×8871×26571
LCM(5314,5322) = 14140554
Factors of 5314
List of positive integer factors of 5314 that divides 5314 without a remainder.
1, 2, 2657, 5314
Factors of 5322
List of positive integer factors of 5322 that divides 5322 without a remainder.
1, 2, 3, 6, 887, 1774, 2661, 5322
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5314 and 5322, than apply into the LCM equation.
GCF(5314,5322) = 2
LCM(5314,5322) = ( 5314 × 5322) / 2
LCM(5314,5322) = 28281108 / 2
LCM(5314,5322) = 14140554
(i) The LCM of 5322 and 5314 is associative
LCM of 5314 and 5322 = LCM of 5322 and 5314
1. What is the LCM of 5314 and 5322?
Answer: LCM of 5314 and 5322 is 14140554.
2. What are the Factors of 5314?
Answer: Factors of 5314 are 1, 2, 2657, 5314. There are 4 integers that are factors of 5314. The greatest factor of 5314 is 5314.
3. What are the Factors of 5322?
Answer: Factors of 5322 are 1, 2, 3, 6, 887, 1774, 2661, 5322. There are 8 integers that are factors of 5322. The greatest factor of 5322 is 5322.
4. How to Find the LCM of 5314 and 5322?
Answer:
Least Common Multiple of 5314 and 5322 = 14140554
Step 1: Find the prime factorization of 5314
5314 = 2 x 2657
Step 2: Find the prime factorization of 5322
5322 = 2 x 3 x 887
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14140554 = 2 x 3 x 887 x 2657
Step 4: Therefore, the least common multiple of 5314 and 5322 is 14140554.