Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1493 and 1498 the smallest integer that is 2236514 that is divisible by both numbers.
Least Common Multiple (LCM) of 1493 and 1498 is 2236514.
LCM(1493,1498) = 2236514
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 1493 and 1498. First we will calculate the prime factors of 1493 and 1498.
Prime Factorization of 1493
1493 | 1493 |
1 |
Prime factors of 1493 are 1493. Prime factorization of 1493 in exponential form is:
1493 = 14931
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 1493 and 1498.
LCM(1493,1498) = 21×71×1071×14931
LCM(1493,1498) = 2236514
Factors of 1493
List of positive integer factors of 1493 that divides 1493 without a remainder.
1, 1493
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 1493 and 1498, than apply into the LCM equation.
GCF(1493,1498) = 1
LCM(1493,1498) = ( 1493 × 1498) / 1
LCM(1493,1498) = 2236514 / 1
LCM(1493,1498) = 2236514
(i) The LCM of 1498 and 1493 is associative
LCM of 1493 and 1498 = LCM of 1498 and 1493
1. What is the LCM of 1493 and 1498?
Answer: LCM of 1493 and 1498 is 2236514.
2. What are the Factors of 1493?
Answer: Factors of 1493 are 1, 1493. There are 2 integers that are factors of 1493. The greatest factor of 1493 is 1493.
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 1493 and 1498?
Answer:
Least Common Multiple of 1493 and 1498 = 2236514
Step 1: Find the prime factorization of 1493
1493 = 1493
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 = 2236514 = 2 x 7 x 107 x 1493
Step 4: Therefore, the least common multiple of 1493 and 1498 is 2236514.