Least Common Multiple of 3419 and 3427
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3419 and 3427 the smallest integer that is 11716913 that is divisible by both numbers.
Least Common Multiple (LCM) of 3419 and 3427 is 11716913.
LCM(3419,3427) = 11716913
LCM of 3419 and 3427
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3419 and 3427 by Prime method
- Least Common Multiple of 3419 and 3427 with GCF Formula
LCM of 3419 and 3427 is 11716913
Least common multiple can be found by multiplying the highest exponent prime factors of 3419 and 3427. First we will calculate the prime factors of 3419 and 3427.
Prime Factorization of 3419
| 13 | 3419 |
| 263 | 263 |
| 1 |
Prime factors of 3419 are 13,263. Prime factorization of 3419 in exponential form is:
3419 = 131×2631
Prime Factorization of 3427
| 23 | 3427 |
| 149 | 149 |
| 1 |
Prime factors of 3427 are 23,149. Prime factorization of 3427 in exponential form is:
3427 = 231×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 3419 and 3427.
LCM(3419,3427) = 131×231×1491×2631
LCM(3419,3427) = 11716913
Factors of 3419
List of positive integer factors of 3419 that divides 3419 without a remainder.
1, 13, 263, 3419
Factors of 3427
List of positive integer factors of 3427 that divides 3427 without a remainder.
1, 23, 149, 3427
Least Common Multiple of 3419 and 3427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3419 and 3427, than apply into the LCM equation.
GCF(3419,3427) = 1
LCM(3419,3427) = ( 3419 × 3427) / 1
LCM(3419,3427) = 11716913 / 1
LCM(3419,3427) = 11716913
Properties of LCM 3419 and 3427
(i) The LCM of 3427 and 3419 is associative
LCM of 3419 and 3427 = LCM of 3427 and 3419
Related Least Common Multiples of 3419
Related Least Common Multiples of 3427
Frequently Asked Questions on LCM of 3419 and 3427
1. What is the LCM of 3419 and 3427?
Answer: LCM of 3419 and 3427 is 11716913.
2. What are the Factors of 3419?
Answer: Factors of 3419 are 1, 13, 263, 3419. There are 4 integers that are factors of 3419. The greatest factor of 3419 is 3419.
3. What are the Factors of 3427?
Answer: Factors of 3427 are 1, 23, 149, 3427. There are 4 integers that are factors of 3427. The greatest factor of 3427 is 3427.
4. How to Find the LCM of 3419 and 3427?
Answer:
Least Common Multiple of 3419 and 3427 = 11716913
Step 1: Find the prime factorization of 3419
3419 = 13 x 263
Step 2: Find the prime factorization of 3427
3427 = 23 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11716913 = 13 x 23 x 149 x 263
Step 4: Therefore, the least common multiple of 3419 and 3427 is 11716913.