Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1502 and 1508 the smallest integer that is 1132508 that is divisible by both numbers.
Least Common Multiple (LCM) of 1502 and 1508 is 1132508.
LCM(1502,1508) = 1132508
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 1502 and 1508. First we will calculate the prime factors of 1502 and 1508.
Prime Factorization of 1502
2 | 1502 |
751 | 751 |
1 |
Prime factors of 1502 are 2,751. Prime factorization of 1502 in exponential form is:
1502 = 21×7511
Prime Factorization of 1508
2 | 1508 |
2 | 754 |
13 | 377 |
29 | 29 |
1 |
Prime factors of 1508 are 2, 13,29. Prime factorization of 1508 in exponential form is:
1508 = 22×131×291
Now multiplying the highest exponent prime factors to calculate the LCM of 1502 and 1508.
LCM(1502,1508) = 22×131×291×7511
LCM(1502,1508) = 1132508
Factors of 1502
List of positive integer factors of 1502 that divides 1502 without a remainder.
1, 2, 751, 1502
Factors of 1508
List of positive integer factors of 1508 that divides 1508 without a remainder.
1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1502 and 1508, than apply into the LCM equation.
GCF(1502,1508) = 2
LCM(1502,1508) = ( 1502 × 1508) / 2
LCM(1502,1508) = 2265016 / 2
LCM(1502,1508) = 1132508
(i) The LCM of 1508 and 1502 is associative
LCM of 1502 and 1508 = LCM of 1508 and 1502
1. What is the LCM of 1502 and 1508?
Answer: LCM of 1502 and 1508 is 1132508.
2. What are the Factors of 1502?
Answer: Factors of 1502 are 1, 2, 751, 1502. There are 4 integers that are factors of 1502. The greatest factor of 1502 is 1502.
3. What are the Factors of 1508?
Answer: Factors of 1508 are 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508. There are 12 integers that are factors of 1508. The greatest factor of 1508 is 1508.
4. How to Find the LCM of 1502 and 1508?
Answer:
Least Common Multiple of 1502 and 1508 = 1132508
Step 1: Find the prime factorization of 1502
1502 = 2 x 751
Step 2: Find the prime factorization of 1508
1508 = 2 x 2 x 13 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1132508 = 2 x 2 x 13 x 29 x 751
Step 4: Therefore, the least common multiple of 1502 and 1508 is 1132508.