Least Common Multiple of 3661 and 3666
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3661 and 3666 the smallest integer that is 13421226 that is divisible by both numbers.
Least Common Multiple (LCM) of 3661 and 3666 is 13421226.
LCM(3661,3666) = 13421226
LCM of 3661 and 3666
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3661 and 3666 by Prime method
- Least Common Multiple of 3661 and 3666 with GCF Formula
LCM of 3661 and 3666 is 13421226
Least common multiple can be found by multiplying the highest exponent prime factors of 3661 and 3666. First we will calculate the prime factors of 3661 and 3666.
Prime Factorization of 3661
| 7 | 3661 |
| 523 | 523 |
| 1 |
Prime factors of 3661 are 7,523. Prime factorization of 3661 in exponential form is:
3661 = 71×5231
Prime Factorization of 3666
| 2 | 3666 |
| 3 | 1833 |
| 13 | 611 |
| 47 | 47 |
| 1 |
Prime factors of 3666 are 2, 3, 13,47. Prime factorization of 3666 in exponential form is:
3666 = 21×31×131×471
Now multiplying the highest exponent prime factors to calculate the LCM of 3661 and 3666.
LCM(3661,3666) = 21×31×71×131×471×5231
LCM(3661,3666) = 13421226
Factors of 3661
List of positive integer factors of 3661 that divides 3661 without a remainder.
1, 7, 523, 3661
Factors of 3666
List of positive integer factors of 3666 that divides 3666 without a remainder.
1, 2, 3, 6, 13, 26, 39, 47, 78, 94, 141, 282, 611, 1222, 1833, 3666
Least Common Multiple of 3661 and 3666 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3661 and 3666, than apply into the LCM equation.
GCF(3661,3666) = 1
LCM(3661,3666) = ( 3661 × 3666) / 1
LCM(3661,3666) = 13421226 / 1
LCM(3661,3666) = 13421226
Properties of LCM 3661 and 3666
(i) The LCM of 3666 and 3661 is associative
LCM of 3661 and 3666 = LCM of 3666 and 3661
Related Least Common Multiples of 3661
Related Least Common Multiples of 3666
Frequently Asked Questions on LCM of 3661 and 3666
1. What is the LCM of 3661 and 3666?
Answer: LCM of 3661 and 3666 is 13421226.
2. What are the Factors of 3661?
Answer: Factors of 3661 are 1, 7, 523, 3661. There are 4 integers that are factors of 3661. The greatest factor of 3661 is 3661.
3. What are the Factors of 3666?
Answer: Factors of 3666 are 1, 2, 3, 6, 13, 26, 39, 47, 78, 94, 141, 282, 611, 1222, 1833, 3666. There are 16 integers that are factors of 3666. The greatest factor of 3666 is 3666.
4. How to Find the LCM of 3661 and 3666?
Answer:
Least Common Multiple of 3661 and 3666 = 13421226
Step 1: Find the prime factorization of 3661
3661 = 7 x 523
Step 2: Find the prime factorization of 3666
3666 = 2 x 3 x 13 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 = 13421226 = 2 x 3 x 7 x 13 x 47 x 523
Step 4: Therefore, the least common multiple of 3661 and 3666 is 13421226.