Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1302 and 1303 the smallest integer that is 1696506 that is divisible by both numbers.
Least Common Multiple (LCM) of 1302 and 1303 is 1696506.
LCM(1302,1303) = 1696506
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 1302 and 1303. First we will calculate the prime factors of 1302 and 1303.
Prime Factorization of 1302
2 | 1302 |
3 | 651 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 1302 are 2, 3, 7,31. Prime factorization of 1302 in exponential form is:
1302 = 21×31×71×311
Prime Factorization of 1303
1303 | 1303 |
1 |
Prime factors of 1303 are 1303. Prime factorization of 1303 in exponential form is:
1303 = 13031
Now multiplying the highest exponent prime factors to calculate the LCM of 1302 and 1303.
LCM(1302,1303) = 21×31×71×311×13031
LCM(1302,1303) = 1696506
Factors of 1302
List of positive integer factors of 1302 that divides 1302 without a remainder.
1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302
Factors of 1303
List of positive integer factors of 1303 that divides 1303 without a remainder.
1, 1303
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1302 and 1303, than apply into the LCM equation.
GCF(1302,1303) = 1
LCM(1302,1303) = ( 1302 × 1303) / 1
LCM(1302,1303) = 1696506 / 1
LCM(1302,1303) = 1696506
(i) The LCM of 1303 and 1302 is associative
LCM of 1302 and 1303 = LCM of 1303 and 1302
1. What is the LCM of 1302 and 1303?
Answer: LCM of 1302 and 1303 is 1696506.
2. What are the Factors of 1302?
Answer: Factors of 1302 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302. There are 16 integers that are factors of 1302. The greatest factor of 1302 is 1302.
3. 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.
4. How to Find the LCM of 1302 and 1303?
Answer:
Least Common Multiple of 1302 and 1303 = 1696506
Step 1: Find the prime factorization of 1302
1302 = 2 x 3 x 7 x 31
Step 2: Find the prime factorization of 1303
1303 = 1303
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1696506 = 2 x 3 x 7 x 31 x 1303
Step 4: Therefore, the least common multiple of 1302 and 1303 is 1696506.