Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1303 and 1310 the smallest integer that is 1706930 that is divisible by both numbers.
Least Common Multiple (LCM) of 1303 and 1310 is 1706930.
LCM(1303,1310) = 1706930
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 1303 and 1310. First we will calculate the prime factors of 1303 and 1310.
Prime Factorization of 1303
1303 | 1303 |
1 |
Prime factors of 1303 are 1303. Prime factorization of 1303 in exponential form is:
1303 = 13031
Prime Factorization of 1310
2 | 1310 |
5 | 655 |
131 | 131 |
1 |
Prime factors of 1310 are 2, 5,131. Prime factorization of 1310 in exponential form is:
1310 = 21×51×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 1303 and 1310.
LCM(1303,1310) = 21×51×1311×13031
LCM(1303,1310) = 1706930
Factors of 1303
List of positive integer factors of 1303 that divides 1303 without a remainder.
1, 1303
Factors of 1310
List of positive integer factors of 1310 that divides 1310 without a remainder.
1, 2, 5, 10, 131, 262, 655, 1310
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1303 and 1310, than apply into the LCM equation.
GCF(1303,1310) = 1
LCM(1303,1310) = ( 1303 × 1310) / 1
LCM(1303,1310) = 1706930 / 1
LCM(1303,1310) = 1706930
(i) The LCM of 1310 and 1303 is associative
LCM of 1303 and 1310 = LCM of 1310 and 1303
1. What is the LCM of 1303 and 1310?
Answer: LCM of 1303 and 1310 is 1706930.
2. What are the Factors of 1303?
Answer: Factors of 1303 are 1, 1303. There are 2 integers that are factors of 1303. The greatest factor of 1303 is 1303.
3. What are the Factors of 1310?
Answer: Factors of 1310 are 1, 2, 5, 10, 131, 262, 655, 1310. There are 8 integers that are factors of 1310. The greatest factor of 1310 is 1310.
4. How to Find the LCM of 1303 and 1310?
Answer:
Least Common Multiple of 1303 and 1310 = 1706930
Step 1: Find the prime factorization of 1303
1303 = 1303
Step 2: Find the prime factorization of 1310
1310 = 2 x 5 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1706930 = 2 x 5 x 131 x 1303
Step 4: Therefore, the least common multiple of 1303 and 1310 is 1706930.