Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1494 and 1498 the smallest integer that is 1119006 that is divisible by both numbers.
Least Common Multiple (LCM) of 1494 and 1498 is 1119006.
LCM(1494,1498) = 1119006
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 1494 and 1498. First we will calculate the prime factors of 1494 and 1498.
Prime Factorization of 1494
2 | 1494 |
3 | 747 |
3 | 249 |
83 | 83 |
1 |
Prime factors of 1494 are 2, 3,83. Prime factorization of 1494 in exponential form is:
1494 = 21×32×831
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1494 and 1498.
LCM(1494,1498) = 21×32×71×831×1071
LCM(1494,1498) = 1119006
Factors of 1494
List of positive integer factors of 1494 that divides 1494 without a remainder.
1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494
Factors of 1498
List of positive integer factors of 1498 that divides 1498 without a remainder.
1, 2, 7, 14, 107, 214, 749, 1498
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1494 and 1498, than apply into the LCM equation.
GCF(1494,1498) = 2
LCM(1494,1498) = ( 1494 × 1498) / 2
LCM(1494,1498) = 2238012 / 2
LCM(1494,1498) = 1119006
(i) The LCM of 1498 and 1494 is associative
LCM of 1494 and 1498 = LCM of 1498 and 1494
1. What is the LCM of 1494 and 1498?
Answer: LCM of 1494 and 1498 is 1119006.
2. What are the Factors of 1494?
Answer: Factors of 1494 are 1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494. There are 12 integers that are factors of 1494. The greatest factor of 1494 is 1494.
3. 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.
4. How to Find the LCM of 1494 and 1498?
Answer:
Least Common Multiple of 1494 and 1498 = 1119006
Step 1: Find the prime factorization of 1494
1494 = 2 x 3 x 3 x 83
Step 2: Find the prime factorization of 1498
1498 = 2 x 7 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1119006 = 2 x 3 x 3 x 7 x 83 x 107
Step 4: Therefore, the least common multiple of 1494 and 1498 is 1119006.