Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1313 and 1318 the smallest integer that is 1730534 that is divisible by both numbers.
Least Common Multiple (LCM) of 1313 and 1318 is 1730534.
LCM(1313,1318) = 1730534
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 1313 and 1318. First we will calculate the prime factors of 1313 and 1318.
Prime Factorization of 1313
13 | 1313 |
101 | 101 |
1 |
Prime factors of 1313 are 13,101. Prime factorization of 1313 in exponential form is:
1313 = 131×1011
Prime Factorization of 1318
2 | 1318 |
659 | 659 |
1 |
Prime factors of 1318 are 2,659. Prime factorization of 1318 in exponential form is:
1318 = 21×6591
Now multiplying the highest exponent prime factors to calculate the LCM of 1313 and 1318.
LCM(1313,1318) = 21×131×1011×6591
LCM(1313,1318) = 1730534
Factors of 1313
List of positive integer factors of 1313 that divides 1313 without a remainder.
1, 13, 101, 1313
Factors of 1318
List of positive integer factors of 1318 that divides 1318 without a remainder.
1, 2, 659, 1318
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1313 and 1318, than apply into the LCM equation.
GCF(1313,1318) = 1
LCM(1313,1318) = ( 1313 × 1318) / 1
LCM(1313,1318) = 1730534 / 1
LCM(1313,1318) = 1730534
(i) The LCM of 1318 and 1313 is associative
LCM of 1313 and 1318 = LCM of 1318 and 1313
1. What is the LCM of 1313 and 1318?
Answer: LCM of 1313 and 1318 is 1730534.
2. What are the Factors of 1313?
Answer: Factors of 1313 are 1, 13, 101, 1313. There are 4 integers that are factors of 1313. The greatest factor of 1313 is 1313.
3. What are the Factors of 1318?
Answer: Factors of 1318 are 1, 2, 659, 1318. There are 4 integers that are factors of 1318. The greatest factor of 1318 is 1318.
4. How to Find the LCM of 1313 and 1318?
Answer:
Least Common Multiple of 1313 and 1318 = 1730534
Step 1: Find the prime factorization of 1313
1313 = 13 x 101
Step 2: Find the prime factorization of 1318
1318 = 2 x 659
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1730534 = 2 x 13 x 101 x 659
Step 4: Therefore, the least common multiple of 1313 and 1318 is 1730534.