Least Common Multiple of 3473 and 3478
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3473 and 3478 the smallest integer that is 12079094 that is divisible by both numbers.
Least Common Multiple (LCM) of 3473 and 3478 is 12079094.
LCM(3473,3478) = 12079094
LCM of 3473 and 3478
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3473 and 3478 by Prime method
- Least Common Multiple of 3473 and 3478 with GCF Formula
LCM of 3473 and 3478 is 12079094
Least common multiple can be found by multiplying the highest exponent prime factors of 3473 and 3478. First we will calculate the prime factors of 3473 and 3478.
Prime Factorization of 3473
| 23 | 3473 |
| 151 | 151 |
| 1 |
Prime factors of 3473 are 23,151. Prime factorization of 3473 in exponential form is:
3473 = 231×1511
Prime Factorization of 3478
| 2 | 3478 |
| 37 | 1739 |
| 47 | 47 |
| 1 |
Prime factors of 3478 are 2, 37,47. Prime factorization of 3478 in exponential form is:
3478 = 21×371×471
Now multiplying the highest exponent prime factors to calculate the LCM of 3473 and 3478.
LCM(3473,3478) = 21×231×371×471×1511
LCM(3473,3478) = 12079094
Factors of 3473
List of positive integer factors of 3473 that divides 3473 without a remainder.
1, 23, 151, 3473
Factors of 3478
List of positive integer factors of 3478 that divides 3478 without a remainder.
1, 2, 37, 47, 74, 94, 1739, 3478
Least Common Multiple of 3473 and 3478 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3473 and 3478, than apply into the LCM equation.
GCF(3473,3478) = 1
LCM(3473,3478) = ( 3473 × 3478) / 1
LCM(3473,3478) = 12079094 / 1
LCM(3473,3478) = 12079094
Properties of LCM 3473 and 3478
(i) The LCM of 3478 and 3473 is associative
LCM of 3473 and 3478 = LCM of 3478 and 3473
Related Least Common Multiples of 3473
Related Least Common Multiples of 3478
Frequently Asked Questions on LCM of 3473 and 3478
1. What is the LCM of 3473 and 3478?
Answer: LCM of 3473 and 3478 is 12079094.
2. What are the Factors of 3473?
Answer: Factors of 3473 are 1, 23, 151, 3473. There are 4 integers that are factors of 3473. The greatest factor of 3473 is 3473.
3. What are the Factors of 3478?
Answer: Factors of 3478 are 1, 2, 37, 47, 74, 94, 1739, 3478. There are 8 integers that are factors of 3478. The greatest factor of 3478 is 3478.
4. How to Find the LCM of 3473 and 3478?
Answer:
Least Common Multiple of 3473 and 3478 = 12079094
Step 1: Find the prime factorization of 3473
3473 = 23 x 151
Step 2: Find the prime factorization of 3478
3478 = 2 x 37 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12079094 = 2 x 23 x 37 x 47 x 151
Step 4: Therefore, the least common multiple of 3473 and 3478 is 12079094.