Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1498 and 1504 the smallest integer that is 1126496 that is divisible by both numbers.
Least Common Multiple (LCM) of 1498 and 1504 is 1126496.
LCM(1498,1504) = 1126496
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 1498 and 1504. First we will calculate the prime factors of 1498 and 1504.
Prime Factorization of 1498
2 | 1498 |
7 | 749 |
107 | 107 |
1 |
Prime factors of 1498 are 2, 7,107. Prime factorization of 1498 in exponential form is:
1498 = 21×71×1071
Prime Factorization of 1504
2 | 1504 |
2 | 752 |
2 | 376 |
2 | 188 |
2 | 94 |
47 | 47 |
1 |
Prime factors of 1504 are 2,47. Prime factorization of 1504 in exponential form is:
1504 = 25×471
Now multiplying the highest exponent prime factors to calculate the LCM of 1498 and 1504.
LCM(1498,1504) = 25×71×471×1071
LCM(1498,1504) = 1126496
Factors of 1498
List of positive integer factors of 1498 that divides 1498 without a remainder.
1, 2, 7, 14, 107, 214, 749, 1498
Factors of 1504
List of positive integer factors of 1504 that divides 1504 without a remainder.
1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1498 and 1504, than apply into the LCM equation.
GCF(1498,1504) = 2
LCM(1498,1504) = ( 1498 × 1504) / 2
LCM(1498,1504) = 2252992 / 2
LCM(1498,1504) = 1126496
(i) The LCM of 1504 and 1498 is associative
LCM of 1498 and 1504 = LCM of 1504 and 1498
1. What is the LCM of 1498 and 1504?
Answer: LCM of 1498 and 1504 is 1126496.
2. What are the Factors of 1498?
Answer: Factors of 1498 are 1, 2, 7, 14, 107, 214, 749, 1498. There are 8 integers that are factors of 1498. The greatest factor of 1498 is 1498.
3. What are the Factors of 1504?
Answer: Factors of 1504 are 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504. There are 12 integers that are factors of 1504. The greatest factor of 1504 is 1504.
4. How to Find the LCM of 1498 and 1504?
Answer:
Least Common Multiple of 1498 and 1504 = 1126496
Step 1: Find the prime factorization of 1498
1498 = 2 x 7 x 107
Step 2: Find the prime factorization of 1504
1504 = 2 x 2 x 2 x 2 x 2 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1126496 = 2 x 2 x 2 x 2 x 2 x 7 x 47 x 107
Step 4: Therefore, the least common multiple of 1498 and 1504 is 1126496.