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 3440 the smallest integer that is 2363280 that is divisible by both numbers.
Least Common Multiple (LCM) of 3435 and 3440 is 2363280.
LCM(3435,3440) = 2363280
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 3440. First we will calculate the prime factors of 3435 and 3440.
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 3440
2 | 3440 |
2 | 1720 |
2 | 860 |
2 | 430 |
5 | 215 |
43 | 43 |
1 |
Prime factors of 3440 are 2, 5,43. Prime factorization of 3440 in exponential form is:
3440 = 24×51×431
Now multiplying the highest exponent prime factors to calculate the LCM of 3435 and 3440.
LCM(3435,3440) = 24×31×51×431×2291
LCM(3435,3440) = 2363280
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 3440
List of positive integer factors of 3440 that divides 3440 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720, 3440
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3435 and 3440, than apply into the LCM equation.
GCF(3435,3440) = 5
LCM(3435,3440) = ( 3435 × 3440) / 5
LCM(3435,3440) = 11816400 / 5
LCM(3435,3440) = 2363280
(i) The LCM of 3440 and 3435 is associative
LCM of 3435 and 3440 = LCM of 3440 and 3435
1. What is the LCM of 3435 and 3440?
Answer: LCM of 3435 and 3440 is 2363280.
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 3440?
Answer: Factors of 3440 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720, 3440. There are 20 integers that are factors of 3440. The greatest factor of 3440 is 3440.
4. How to Find the LCM of 3435 and 3440?
Answer:
Least Common Multiple of 3435 and 3440 = 2363280
Step 1: Find the prime factorization of 3435
3435 = 3 x 5 x 229
Step 2: Find the prime factorization of 3440
3440 = 2 x 2 x 2 x 2 x 5 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2363280 = 2 x 2 x 2 x 2 x 3 x 5 x 43 x 229
Step 4: Therefore, the least common multiple of 3435 and 3440 is 2363280.