Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2959 and 2966 the smallest integer that is 8776394 that is divisible by both numbers.
Least Common Multiple (LCM) of 2959 and 2966 is 8776394.
LCM(2959,2966) = 8776394
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 2959 and 2966. First we will calculate the prime factors of 2959 and 2966.
Prime Factorization of 2959
11 | 2959 |
269 | 269 |
1 |
Prime factors of 2959 are 11,269. Prime factorization of 2959 in exponential form is:
2959 = 111×2691
Prime Factorization of 2966
2 | 2966 |
1483 | 1483 |
1 |
Prime factors of 2966 are 2,1483. Prime factorization of 2966 in exponential form is:
2966 = 21×14831
Now multiplying the highest exponent prime factors to calculate the LCM of 2959 and 2966.
LCM(2959,2966) = 21×111×2691×14831
LCM(2959,2966) = 8776394
Factors of 2959
List of positive integer factors of 2959 that divides 2959 without a remainder.
1, 11, 269, 2959
Factors of 2966
List of positive integer factors of 2966 that divides 2966 without a remainder.
1, 2, 1483, 2966
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2959 and 2966, than apply into the LCM equation.
GCF(2959,2966) = 1
LCM(2959,2966) = ( 2959 × 2966) / 1
LCM(2959,2966) = 8776394 / 1
LCM(2959,2966) = 8776394
(i) The LCM of 2966 and 2959 is associative
LCM of 2959 and 2966 = LCM of 2966 and 2959
1. What is the LCM of 2959 and 2966?
Answer: LCM of 2959 and 2966 is 8776394.
2. What are the Factors of 2959?
Answer: Factors of 2959 are 1, 11, 269, 2959. There are 4 integers that are factors of 2959. The greatest factor of 2959 is 2959.
3. What are the Factors of 2966?
Answer: Factors of 2966 are 1, 2, 1483, 2966. There are 4 integers that are factors of 2966. The greatest factor of 2966 is 2966.
4. How to Find the LCM of 2959 and 2966?
Answer:
Least Common Multiple of 2959 and 2966 = 8776394
Step 1: Find the prime factorization of 2959
2959 = 11 x 269
Step 2: Find the prime factorization of 2966
2966 = 2 x 1483
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8776394 = 2 x 11 x 269 x 1483
Step 4: Therefore, the least common multiple of 2959 and 2966 is 8776394.