LCM of 14 and 19 is 266. LCM stands for the Least Common multiple. It can also be termed as the Lowest common multiple. LCM is the smallest positive number that is divisible by the given group of numbers. In the given set of numbers 14 and 19, 266 is the first (least or smallest) number that is common in the set of multiples of 14 and 19. The synonym for LCM is LCD, Least Common Divisor. You can use the HCF and LCM to learn more about lcm.
What is LCM of 14 and 19
The Least Common Multiple or Lowest Common Multiple of 14 and 19 is 266.
How to Find LCM of 14 and 19?
LCM of 14 and 19 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 14 and 19 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 14 and 19 can be expressed as;
14 = 2 × 7
19 = 1 × 19
LCM (14, 19) = 2 × 7 × 19 = 266
LCM of 14 and 19 Using Division Method
In the Division Method, The following steps are followed.
- Numbers to be written in the same row separated by a comma.
- These numbers are divided with the smallest prime number.
- Continue division till the remainder becomes 1 for both numbers.
The above steps are shown in division below.
|
2 |
14 |
19 |
|
7 |
7 |
19 |
|
19 |
1 |
19 |
|
× |
1 |
1 |
Hence, LCM (14, 19) = 2 × 7 × 19 = 266
LCM of 14 and 19 Using Listing the Multiples
By listing all the multiples of given numbers, we can identify the smallest common multiple, which is the LCM. Here is the list of multiples for 14 and 19
Multiples of 14:
14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266….
Multiples of 19:
19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 304…..
LCM (14, 19) = 266
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 14 and 19?
Answer: 266 is the smallest number that is divisible by both 14 and 19.
What is the LCM for 1, 14 and 19?
Answer: LCM for 1, 14 and 19 is 266 as 1 is a factor of every number.
Comments