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 3442 the smallest integer that is 11823270 that is divisible by both numbers.
Least Common Multiple (LCM) of 3435 and 3442 is 11823270.
LCM(3435,3442) = 11823270
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 3442. First we will calculate the prime factors of 3435 and 3442.
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 3442
2 | 3442 |
1721 | 1721 |
1 |
Prime factors of 3442 are 2,1721. Prime factorization of 3442 in exponential form is:
3442 = 21×17211
Now multiplying the highest exponent prime factors to calculate the LCM of 3435 and 3442.
LCM(3435,3442) = 21×31×51×2291×17211
LCM(3435,3442) = 11823270
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 3442
List of positive integer factors of 3442 that divides 3442 without a remainder.
1, 2, 1721, 3442
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3435 and 3442, than apply into the LCM equation.
GCF(3435,3442) = 1
LCM(3435,3442) = ( 3435 × 3442) / 1
LCM(3435,3442) = 11823270 / 1
LCM(3435,3442) = 11823270
(i) The LCM of 3442 and 3435 is associative
LCM of 3435 and 3442 = LCM of 3442 and 3435
1. What is the LCM of 3435 and 3442?
Answer: LCM of 3435 and 3442 is 11823270.
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 3442?
Answer: Factors of 3442 are 1, 2, 1721, 3442. There are 4 integers that are factors of 3442. The greatest factor of 3442 is 3442.
4. How to Find the LCM of 3435 and 3442?
Answer:
Least Common Multiple of 3435 and 3442 = 11823270
Step 1: Find the prime factorization of 3435
3435 = 3 x 5 x 229
Step 2: Find the prime factorization of 3442
3442 = 2 x 1721
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11823270 = 2 x 3 x 5 x 229 x 1721
Step 4: Therefore, the least common multiple of 3435 and 3442 is 11823270.