Least Common Multiple of 1211 and 1219
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1211 and 1219 the smallest integer that is 1476209 that is divisible by both numbers.
Least Common Multiple (LCM) of 1211 and 1219 is 1476209.
LCM(1211,1219) = 1476209
LCM of 1211 and 1219
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1211 and 1219 by Prime method
- Least Common Multiple of 1211 and 1219 with GCF Formula
LCM of 1211 and 1219 is 1476209
Least common multiple can be found by multiplying the highest exponent prime factors of 1211 and 1219. First we will calculate the prime factors of 1211 and 1219.
Prime Factorization of 1211
| 7 | 1211 |
| 173 | 173 |
| 1 |
Prime factors of 1211 are 7,173. Prime factorization of 1211 in exponential form is:
1211 = 71×1731
Prime Factorization of 1219
| 23 | 1219 |
| 53 | 53 |
| 1 |
Prime factors of 1219 are 23,53. Prime factorization of 1219 in exponential form is:
1219 = 231×531
Now multiplying the highest exponent prime factors to calculate the LCM of 1211 and 1219.
LCM(1211,1219) = 71×231×531×1731
LCM(1211,1219) = 1476209
Factors of 1211
List of positive integer factors of 1211 that divides 1211 without a remainder.
1, 7, 173, 1211
Factors of 1219
List of positive integer factors of 1219 that divides 1219 without a remainder.
1, 23, 53, 1219
Least Common Multiple of 1211 and 1219 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1211 and 1219, than apply into the LCM equation.
GCF(1211,1219) = 1
LCM(1211,1219) = ( 1211 × 1219) / 1
LCM(1211,1219) = 1476209 / 1
LCM(1211,1219) = 1476209
Properties of LCM 1211 and 1219
(i) The LCM of 1219 and 1211 is associative
LCM of 1211 and 1219 = LCM of 1219 and 1211
Related Least Common Multiples of 1211
Related Least Common Multiples of 1219
Frequently Asked Questions on LCM of 1211 and 1219
1. What is the LCM of 1211 and 1219?
Answer: LCM of 1211 and 1219 is 1476209.
2. What are the Factors of 1211?
Answer: Factors of 1211 are 1, 7, 173, 1211. There are 4 integers that are factors of 1211. The greatest factor of 1211 is 1211.
3. What are the Factors of 1219?
Answer: Factors of 1219 are 1, 23, 53, 1219. There are 4 integers that are factors of 1219. The greatest factor of 1219 is 1219.
4. How to Find the LCM of 1211 and 1219?
Answer:
Least Common Multiple of 1211 and 1219 = 1476209
Step 1: Find the prime factorization of 1211
1211 = 7 x 173
Step 2: Find the prime factorization of 1219
1219 = 23 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1476209 = 7 x 23 x 53 x 173
Step 4: Therefore, the least common multiple of 1211 and 1219 is 1476209.
