Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1496 and 1503 the smallest integer that is 2248488 that is divisible by both numbers.
Least Common Multiple (LCM) of 1496 and 1503 is 2248488.
LCM(1496,1503) = 2248488
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 1496 and 1503. First we will calculate the prime factors of 1496 and 1503.
Prime Factorization of 1496
2 | 1496 |
2 | 748 |
2 | 374 |
11 | 187 |
17 | 17 |
1 |
Prime factors of 1496 are 2, 11,17. Prime factorization of 1496 in exponential form is:
1496 = 23×111×171
Prime Factorization of 1503
3 | 1503 |
3 | 501 |
167 | 167 |
1 |
Prime factors of 1503 are 3,167. Prime factorization of 1503 in exponential form is:
1503 = 32×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 1496 and 1503.
LCM(1496,1503) = 23×32×111×171×1671
LCM(1496,1503) = 2248488
Factors of 1496
List of positive integer factors of 1496 that divides 1496 without a remainder.
1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496
Factors of 1503
List of positive integer factors of 1503 that divides 1503 without a remainder.
1, 3, 9, 167, 501, 1503
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1496 and 1503, than apply into the LCM equation.
GCF(1496,1503) = 1
LCM(1496,1503) = ( 1496 × 1503) / 1
LCM(1496,1503) = 2248488 / 1
LCM(1496,1503) = 2248488
(i) The LCM of 1503 and 1496 is associative
LCM of 1496 and 1503 = LCM of 1503 and 1496
1. What is the LCM of 1496 and 1503?
Answer: LCM of 1496 and 1503 is 2248488.
2. What are the Factors of 1496?
Answer: Factors of 1496 are 1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496. There are 16 integers that are factors of 1496. The greatest factor of 1496 is 1496.
3. What are the Factors of 1503?
Answer: Factors of 1503 are 1, 3, 9, 167, 501, 1503. There are 6 integers that are factors of 1503. The greatest factor of 1503 is 1503.
4. How to Find the LCM of 1496 and 1503?
Answer:
Least Common Multiple of 1496 and 1503 = 2248488
Step 1: Find the prime factorization of 1496
1496 = 2 x 2 x 2 x 11 x 17
Step 2: Find the prime factorization of 1503
1503 = 3 x 3 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2248488 = 2 x 2 x 2 x 3 x 3 x 11 x 17 x 167
Step 4: Therefore, the least common multiple of 1496 and 1503 is 2248488.