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 1506 the smallest integer that is 1127994 that is divisible by both numbers.
Least Common Multiple (LCM) of 1498 and 1506 is 1127994.
LCM(1498,1506) = 1127994
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 1506. First we will calculate the prime factors of 1498 and 1506.
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 1506
2 | 1506 |
3 | 753 |
251 | 251 |
1 |
Prime factors of 1506 are 2, 3,251. Prime factorization of 1506 in exponential form is:
1506 = 21×31×2511
Now multiplying the highest exponent prime factors to calculate the LCM of 1498 and 1506.
LCM(1498,1506) = 21×31×71×1071×2511
LCM(1498,1506) = 1127994
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 1506
List of positive integer factors of 1506 that divides 1506 without a remainder.
1, 2, 3, 6, 251, 502, 753, 1506
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1498 and 1506, than apply into the LCM equation.
GCF(1498,1506) = 2
LCM(1498,1506) = ( 1498 × 1506) / 2
LCM(1498,1506) = 2255988 / 2
LCM(1498,1506) = 1127994
(i) The LCM of 1506 and 1498 is associative
LCM of 1498 and 1506 = LCM of 1506 and 1498
1. What is the LCM of 1498 and 1506?
Answer: LCM of 1498 and 1506 is 1127994.
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 1506?
Answer: Factors of 1506 are 1, 2, 3, 6, 251, 502, 753, 1506. There are 8 integers that are factors of 1506. The greatest factor of 1506 is 1506.
4. How to Find the LCM of 1498 and 1506?
Answer:
Least Common Multiple of 1498 and 1506 = 1127994
Step 1: Find the prime factorization of 1498
1498 = 2 x 7 x 107
Step 2: Find the prime factorization of 1506
1506 = 2 x 3 x 251
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1127994 = 2 x 3 x 7 x 107 x 251
Step 4: Therefore, the least common multiple of 1498 and 1506 is 1127994.