Least Common Multiple of 1498 and 1505
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 1505 the smallest integer that is 322070 that is divisible by both numbers.
Least Common Multiple (LCM) of 1498 and 1505 is 322070.
LCM(1498,1505) = 322070
LCM of 1498 and 1505
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1498 and 1505 by Prime method
- Least Common Multiple of 1498 and 1505 with GCF Formula
LCM of 1498 and 1505 is 322070
Least common multiple can be found by multiplying the highest exponent prime factors of 1498 and 1505. First we will calculate the prime factors of 1498 and 1505.
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 1505
| 5 | 1505 |
| 7 | 301 |
| 43 | 43 |
| 1 |
Prime factors of 1505 are 5, 7,43. Prime factorization of 1505 in exponential form is:
1505 = 51×71×431
Now multiplying the highest exponent prime factors to calculate the LCM of 1498 and 1505.
LCM(1498,1505) = 21×51×71×431×1071
LCM(1498,1505) = 322070
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 1505
List of positive integer factors of 1505 that divides 1505 without a remainder.
1, 5, 7, 35, 43, 215, 301, 1505
Least Common Multiple of 1498 and 1505 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1498 and 1505, than apply into the LCM equation.
GCF(1498,1505) = 7
LCM(1498,1505) = ( 1498 × 1505) / 7
LCM(1498,1505) = 2254490 / 7
LCM(1498,1505) = 322070
Properties of LCM 1498 and 1505
(i) The LCM of 1505 and 1498 is associative
LCM of 1498 and 1505 = LCM of 1505 and 1498
Related Least Common Multiples of 1498
Related Least Common Multiples of 1505
Frequently Asked Questions on LCM of 1498 and 1505
1. What is the LCM of 1498 and 1505?
Answer: LCM of 1498 and 1505 is 322070.
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 1505?
Answer: Factors of 1505 are 1, 5, 7, 35, 43, 215, 301, 1505. There are 8 integers that are factors of 1505. The greatest factor of 1505 is 1505.
4. How to Find the LCM of 1498 and 1505?
Answer:
Least Common Multiple of 1498 and 1505 = 322070
Step 1: Find the prime factorization of 1498
1498 = 2 x 7 x 107
Step 2: Find the prime factorization of 1505
1505 = 5 x 7 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 322070 = 2 x 5 x 7 x 43 x 107
Step 4: Therefore, the least common multiple of 1498 and 1505 is 322070.