Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2661 and 2668 the smallest integer that is 7099548 that is divisible by both numbers.
Least Common Multiple (LCM) of 2661 and 2668 is 7099548.
LCM(2661,2668) = 7099548
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 2661 and 2668. First we will calculate the prime factors of 2661 and 2668.
Prime Factorization of 2661
3 | 2661 |
887 | 887 |
1 |
Prime factors of 2661 are 3,887. Prime factorization of 2661 in exponential form is:
2661 = 31×8871
Prime Factorization of 2668
2 | 2668 |
2 | 1334 |
23 | 667 |
29 | 29 |
1 |
Prime factors of 2668 are 2, 23,29. Prime factorization of 2668 in exponential form is:
2668 = 22×231×291
Now multiplying the highest exponent prime factors to calculate the LCM of 2661 and 2668.
LCM(2661,2668) = 22×31×231×291×8871
LCM(2661,2668) = 7099548
Factors of 2661
List of positive integer factors of 2661 that divides 2661 without a remainder.
1, 3, 887, 2661
Factors of 2668
List of positive integer factors of 2668 that divides 2668 without a remainder.
1, 2, 4, 23, 29, 46, 58, 92, 116, 667, 1334, 2668
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2661 and 2668, than apply into the LCM equation.
GCF(2661,2668) = 1
LCM(2661,2668) = ( 2661 × 2668) / 1
LCM(2661,2668) = 7099548 / 1
LCM(2661,2668) = 7099548
(i) The LCM of 2668 and 2661 is associative
LCM of 2661 and 2668 = LCM of 2668 and 2661
1. What is the LCM of 2661 and 2668?
Answer: LCM of 2661 and 2668 is 7099548.
2. What are the Factors of 2661?
Answer: Factors of 2661 are 1, 3, 887, 2661. There are 4 integers that are factors of 2661. The greatest factor of 2661 is 2661.
3. What are the Factors of 2668?
Answer: Factors of 2668 are 1, 2, 4, 23, 29, 46, 58, 92, 116, 667, 1334, 2668. There are 12 integers that are factors of 2668. The greatest factor of 2668 is 2668.
4. How to Find the LCM of 2661 and 2668?
Answer:
Least Common Multiple of 2661 and 2668 = 7099548
Step 1: Find the prime factorization of 2661
2661 = 3 x 887
Step 2: Find the prime factorization of 2668
2668 = 2 x 2 x 23 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7099548 = 2 x 2 x 3 x 23 x 29 x 887
Step 4: Therefore, the least common multiple of 2661 and 2668 is 7099548.