Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3435 and 3439 the smallest integer that is 11812965 that is divisible by both numbers.
Least Common Multiple (LCM) of 3435 and 3439 is 11812965.
LCM(3435,3439) = 11812965
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 3435 and 3439. First we will calculate the prime factors of 3435 and 3439.
Prime Factorization of 3435
3 | 3435 |
5 | 1145 |
229 | 229 |
1 |
Prime factors of 3435 are 3, 5,229. Prime factorization of 3435 in exponential form is:
3435 = 31×51×2291
Prime Factorization of 3439
19 | 3439 |
181 | 181 |
1 |
Prime factors of 3439 are 19,181. Prime factorization of 3439 in exponential form is:
3439 = 191×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 3435 and 3439.
LCM(3435,3439) = 31×51×191×1811×2291
LCM(3435,3439) = 11812965
Factors of 3435
List of positive integer factors of 3435 that divides 3435 without a remainder.
1, 3, 5, 15, 229, 687, 1145, 3435
Factors of 3439
List of positive integer factors of 3439 that divides 3439 without a remainder.
1, 19, 181, 3439
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3435 and 3439, than apply into the LCM equation.
GCF(3435,3439) = 1
LCM(3435,3439) = ( 3435 × 3439) / 1
LCM(3435,3439) = 11812965 / 1
LCM(3435,3439) = 11812965
(i) The LCM of 3439 and 3435 is associative
LCM of 3435 and 3439 = LCM of 3439 and 3435
1. What is the LCM of 3435 and 3439?
Answer: LCM of 3435 and 3439 is 11812965.
2. What are the Factors of 3435?
Answer: Factors of 3435 are 1, 3, 5, 15, 229, 687, 1145, 3435. There are 8 integers that are factors of 3435. The greatest factor of 3435 is 3435.
3. What are the Factors of 3439?
Answer: Factors of 3439 are 1, 19, 181, 3439. There are 4 integers that are factors of 3439. The greatest factor of 3439 is 3439.
4. How to Find the LCM of 3435 and 3439?
Answer:
Least Common Multiple of 3435 and 3439 = 11812965
Step 1: Find the prime factorization of 3435
3435 = 3 x 5 x 229
Step 2: Find the prime factorization of 3439
3439 = 19 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11812965 = 3 x 5 x 19 x 181 x 229
Step 4: Therefore, the least common multiple of 3435 and 3439 is 11812965.