Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2986 and 2994 the smallest integer that is 4470042 that is divisible by both numbers.
Least Common Multiple (LCM) of 2986 and 2994 is 4470042.
LCM(2986,2994) = 4470042
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 2986 and 2994. First we will calculate the prime factors of 2986 and 2994.
Prime Factorization of 2986
2 | 2986 |
1493 | 1493 |
1 |
Prime factors of 2986 are 2,1493. Prime factorization of 2986 in exponential form is:
2986 = 21×14931
Prime Factorization of 2994
2 | 2994 |
3 | 1497 |
499 | 499 |
1 |
Prime factors of 2994 are 2, 3,499. Prime factorization of 2994 in exponential form is:
2994 = 21×31×4991
Now multiplying the highest exponent prime factors to calculate the LCM of 2986 and 2994.
LCM(2986,2994) = 21×31×4991×14931
LCM(2986,2994) = 4470042
Factors of 2986
List of positive integer factors of 2986 that divides 2986 without a remainder.
1, 2, 1493, 2986
Factors of 2994
List of positive integer factors of 2994 that divides 2994 without a remainder.
1, 2, 3, 6, 499, 998, 1497, 2994
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2986 and 2994, than apply into the LCM equation.
GCF(2986,2994) = 2
LCM(2986,2994) = ( 2986 × 2994) / 2
LCM(2986,2994) = 8940084 / 2
LCM(2986,2994) = 4470042
(i) The LCM of 2994 and 2986 is associative
LCM of 2986 and 2994 = LCM of 2994 and 2986
1. What is the LCM of 2986 and 2994?
Answer: LCM of 2986 and 2994 is 4470042.
2. What are the Factors of 2986?
Answer: Factors of 2986 are 1, 2, 1493, 2986. There are 4 integers that are factors of 2986. The greatest factor of 2986 is 2986.
3. What are the Factors of 2994?
Answer: Factors of 2994 are 1, 2, 3, 6, 499, 998, 1497, 2994. There are 8 integers that are factors of 2994. The greatest factor of 2994 is 2994.
4. How to Find the LCM of 2986 and 2994?
Answer:
Least Common Multiple of 2986 and 2994 = 4470042
Step 1: Find the prime factorization of 2986
2986 = 2 x 1493
Step 2: Find the prime factorization of 2994
2994 = 2 x 3 x 499
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4470042 = 2 x 3 x 499 x 1493
Step 4: Therefore, the least common multiple of 2986 and 2994 is 4470042.