Least Common Multiple of 3473 and 3477
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 3477 the smallest integer that is 12075621 that is divisible by both numbers.
Least Common Multiple (LCM) of 3473 and 3477 is 12075621.
LCM(3473,3477) = 12075621
LCM of 3473 and 3477
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3473 and 3477 by Prime method
- Least Common Multiple of 3473 and 3477 with GCF Formula
LCM of 3473 and 3477 is 12075621
Least common multiple can be found by multiplying the highest exponent prime factors of 3473 and 3477. First we will calculate the prime factors of 3473 and 3477.
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 3477
| 3 | 3477 |
| 19 | 1159 |
| 61 | 61 |
| 1 |
Prime factors of 3477 are 3, 19,61. Prime factorization of 3477 in exponential form is:
3477 = 31×191×611
Now multiplying the highest exponent prime factors to calculate the LCM of 3473 and 3477.
LCM(3473,3477) = 31×191×231×611×1511
LCM(3473,3477) = 12075621
Factors of 3473
List of positive integer factors of 3473 that divides 3473 without a remainder.
1, 23, 151, 3473
Factors of 3477
List of positive integer factors of 3477 that divides 3477 without a remainder.
1, 3, 19, 57, 61, 183, 1159, 3477
Least Common Multiple of 3473 and 3477 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 3477, than apply into the LCM equation.
GCF(3473,3477) = 1
LCM(3473,3477) = ( 3473 × 3477) / 1
LCM(3473,3477) = 12075621 / 1
LCM(3473,3477) = 12075621
Properties of LCM 3473 and 3477
(i) The LCM of 3477 and 3473 is associative
LCM of 3473 and 3477 = LCM of 3477 and 3473
Related Least Common Multiples of 3473
Related Least Common Multiples of 3477
Frequently Asked Questions on LCM of 3473 and 3477
1. What is the LCM of 3473 and 3477?
Answer: LCM of 3473 and 3477 is 12075621.
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 3477?
Answer: Factors of 3477 are 1, 3, 19, 57, 61, 183, 1159, 3477. There are 8 integers that are factors of 3477. The greatest factor of 3477 is 3477.
4. How to Find the LCM of 3473 and 3477?
Answer:
Least Common Multiple of 3473 and 3477 = 12075621
Step 1: Find the prime factorization of 3473
3473 = 23 x 151
Step 2: Find the prime factorization of 3477
3477 = 3 x 19 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12075621 = 3 x 19 x 23 x 61 x 151
Step 4: Therefore, the least common multiple of 3473 and 3477 is 12075621.