Least Common Multiple of 3474 and 3475
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3474 and 3475 the smallest integer that is 12072150 that is divisible by both numbers.
Least Common Multiple (LCM) of 3474 and 3475 is 12072150.
LCM(3474,3475) = 12072150
LCM of 3474 and 3475
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3474 and 3475 by Prime method
- Least Common Multiple of 3474 and 3475 with GCF Formula
LCM of 3474 and 3475 is 12072150
Least common multiple can be found by multiplying the highest exponent prime factors of 3474 and 3475. First we will calculate the prime factors of 3474 and 3475.
Prime Factorization of 3474
| 2 | 3474 |
| 3 | 1737 |
| 3 | 579 |
| 193 | 193 |
| 1 |
Prime factors of 3474 are 2, 3,193. Prime factorization of 3474 in exponential form is:
3474 = 21×32×1931
Prime Factorization of 3475
| 5 | 3475 |
| 5 | 695 |
| 139 | 139 |
| 1 |
Prime factors of 3475 are 5,139. Prime factorization of 3475 in exponential form is:
3475 = 52×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 3474 and 3475.
LCM(3474,3475) = 21×32×52×1391×1931
LCM(3474,3475) = 12072150
Factors of 3474
List of positive integer factors of 3474 that divides 3474 without a remainder.
1, 2, 3, 6, 9, 18, 193, 386, 579, 1158, 1737, 3474
Factors of 3475
List of positive integer factors of 3475 that divides 3475 without a remainder.
1, 5, 25, 139, 695, 3475
Least Common Multiple of 3474 and 3475 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3474 and 3475, than apply into the LCM equation.
GCF(3474,3475) = 1
LCM(3474,3475) = ( 3474 × 3475) / 1
LCM(3474,3475) = 12072150 / 1
LCM(3474,3475) = 12072150
Properties of LCM 3474 and 3475
(i) The LCM of 3475 and 3474 is associative
LCM of 3474 and 3475 = LCM of 3475 and 3474
Related Least Common Multiples of 3474
Related Least Common Multiples of 3475
Frequently Asked Questions on LCM of 3474 and 3475
1. What is the LCM of 3474 and 3475?
Answer: LCM of 3474 and 3475 is 12072150.
2. What are the Factors of 3474?
Answer: Factors of 3474 are 1, 2, 3, 6, 9, 18, 193, 386, 579, 1158, 1737, 3474. There are 12 integers that are factors of 3474. The greatest factor of 3474 is 3474.
3. What are the Factors of 3475?
Answer: Factors of 3475 are 1, 5, 25, 139, 695, 3475. There are 6 integers that are factors of 3475. The greatest factor of 3475 is 3475.
4. How to Find the LCM of 3474 and 3475?
Answer:
Least Common Multiple of 3474 and 3475 = 12072150
Step 1: Find the prime factorization of 3474
3474 = 2 x 3 x 3 x 193
Step 2: Find the prime factorization of 3475
3475 = 5 x 5 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12072150 = 2 x 3 x 3 x 5 x 5 x 139 x 193
Step 4: Therefore, the least common multiple of 3474 and 3475 is 12072150.