Least Common Multiple of 12419 and 12426
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 12419 and 12426 the smallest integer that is 154318494 that is divisible by both numbers.
Least Common Multiple (LCM) of 12419 and 12426 is 154318494.
LCM(12419,12426) = 154318494
LCM of 12419 and 12426
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 12419 and 12426 by Prime method
- Least Common Multiple of 12419 and 12426 with GCF Formula
LCM of 12419 and 12426 is 154318494
Least common multiple can be found by multiplying the highest exponent prime factors of 12419 and 12426. First we will calculate the prime factors of 12419 and 12426.
Prime Factorization of 12419
| 11 | 12419 |
| 1129 | 1129 |
| 1 |
Prime factors of 12419 are 11,1129. Prime factorization of 12419 in exponential form is:
12419 = 111×11291
Prime Factorization of 12426
| 2 | 12426 |
| 3 | 6213 |
| 19 | 2071 |
| 109 | 109 |
| 1 |
Prime factors of 12426 are 2, 3, 19,109. Prime factorization of 12426 in exponential form is:
12426 = 21×31×191×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 12419 and 12426.
LCM(12419,12426) = 21×31×111×191×1091×11291
LCM(12419,12426) = 154318494
Factors of 12419
List of positive integer factors of 12419 that divides 12419 without a remainder.
1, 11, 1129, 12419
Factors of 12426
List of positive integer factors of 12426 that divides 12426 without a remainder.
1, 2, 3, 6, 19, 38, 57, 109, 114, 218, 327, 654, 2071, 4142, 6213, 12426
Least Common Multiple of 12419 and 12426 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12419 and 12426, than apply into the LCM equation.
GCF(12419,12426) = 1
LCM(12419,12426) = ( 12419 × 12426) / 1
LCM(12419,12426) = 154318494 / 1
LCM(12419,12426) = 154318494
Properties of LCM 12419 and 12426
(i) The LCM of 12426 and 12419 is associative
LCM of 12419 and 12426 = LCM of 12426 and 12419
Related Least Common Multiples of 12419
Related Least Common Multiples of 12426
Frequently Asked Questions on LCM of 12419 and 12426
1. What is the LCM of 12419 and 12426?
Answer: LCM of 12419 and 12426 is 154318494.
2. What are the Factors of 12419?
Answer: Factors of 12419 are 1, 11, 1129, 12419. There are 4 integers that are factors of 12419. The greatest factor of 12419 is 12419.
3. What are the Factors of 12426?
Answer: Factors of 12426 are 1, 2, 3, 6, 19, 38, 57, 109, 114, 218, 327, 654, 2071, 4142, 6213, 12426. There are 16 integers that are factors of 12426. The greatest factor of 12426 is 12426.
4. How to Find the LCM of 12419 and 12426?
Answer:
Least Common Multiple of 12419 and 12426 = 154318494
Step 1: Find the prime factorization of 12419
12419 = 11 x 1129
Step 2: Find the prime factorization of 12426
12426 = 2 x 3 x 19 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 154318494 = 2 x 3 x 11 x 19 x 109 x 1129
Step 4: Therefore, the least common multiple of 12419 and 12426 is 154318494.