Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1661 and 1666 the smallest integer that is 2767226 that is divisible by both numbers.
Least Common Multiple (LCM) of 1661 and 1666 is 2767226.
LCM(1661,1666) = 2767226
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 1661 and 1666. First we will calculate the prime factors of 1661 and 1666.
Prime Factorization of 1661
11 | 1661 |
151 | 151 |
1 |
Prime factors of 1661 are 11,151. Prime factorization of 1661 in exponential form is:
1661 = 111×1511
Prime Factorization of 1666
2 | 1666 |
7 | 833 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 1666 are 2, 7,17. Prime factorization of 1666 in exponential form is:
1666 = 21×72×171
Now multiplying the highest exponent prime factors to calculate the LCM of 1661 and 1666.
LCM(1661,1666) = 21×72×111×171×1511
LCM(1661,1666) = 2767226
Factors of 1661
List of positive integer factors of 1661 that divides 1661 without a remainder.
1, 11, 151, 1661
Factors of 1666
List of positive integer factors of 1666 that divides 1666 without a remainder.
1, 2, 7, 14, 17, 34, 49, 98, 119, 238, 833, 1666
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1661 and 1666, than apply into the LCM equation.
GCF(1661,1666) = 1
LCM(1661,1666) = ( 1661 × 1666) / 1
LCM(1661,1666) = 2767226 / 1
LCM(1661,1666) = 2767226
(i) The LCM of 1666 and 1661 is associative
LCM of 1661 and 1666 = LCM of 1666 and 1661
1. What is the LCM of 1661 and 1666?
Answer: LCM of 1661 and 1666 is 2767226.
2. What are the Factors of 1661?
Answer: Factors of 1661 are 1, 11, 151, 1661. There are 4 integers that are factors of 1661. The greatest factor of 1661 is 1661.
3. What are the Factors of 1666?
Answer: Factors of 1666 are 1, 2, 7, 14, 17, 34, 49, 98, 119, 238, 833, 1666. There are 12 integers that are factors of 1666. The greatest factor of 1666 is 1666.
4. How to Find the LCM of 1661 and 1666?
Answer:
Least Common Multiple of 1661 and 1666 = 2767226
Step 1: Find the prime factorization of 1661
1661 = 11 x 151
Step 2: Find the prime factorization of 1666
1666 = 2 x 7 x 7 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2767226 = 2 x 7 x 7 x 11 x 17 x 151
Step 4: Therefore, the least common multiple of 1661 and 1666 is 2767226.