Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2979 and 2983 the smallest integer that is 8886357 that is divisible by both numbers.
Least Common Multiple (LCM) of 2979 and 2983 is 8886357.
LCM(2979,2983) = 8886357
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 2979 and 2983. First we will calculate the prime factors of 2979 and 2983.
Prime Factorization of 2979
3 | 2979 |
3 | 993 |
331 | 331 |
1 |
Prime factors of 2979 are 3,331. Prime factorization of 2979 in exponential form is:
2979 = 32×3311
Prime Factorization of 2983
19 | 2983 |
157 | 157 |
1 |
Prime factors of 2983 are 19,157. Prime factorization of 2983 in exponential form is:
2983 = 191×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 2979 and 2983.
LCM(2979,2983) = 32×191×1571×3311
LCM(2979,2983) = 8886357
Factors of 2979
List of positive integer factors of 2979 that divides 2979 without a remainder.
1, 3, 9, 331, 993, 2979
Factors of 2983
List of positive integer factors of 2983 that divides 2983 without a remainder.
1, 19, 157, 2983
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2979 and 2983, than apply into the LCM equation.
GCF(2979,2983) = 1
LCM(2979,2983) = ( 2979 × 2983) / 1
LCM(2979,2983) = 8886357 / 1
LCM(2979,2983) = 8886357
(i) The LCM of 2983 and 2979 is associative
LCM of 2979 and 2983 = LCM of 2983 and 2979
1. What is the LCM of 2979 and 2983?
Answer: LCM of 2979 and 2983 is 8886357.
2. What are the Factors of 2979?
Answer: Factors of 2979 are 1, 3, 9, 331, 993, 2979. There are 6 integers that are factors of 2979. The greatest factor of 2979 is 2979.
3. What are the Factors of 2983?
Answer: Factors of 2983 are 1, 19, 157, 2983. There are 4 integers that are factors of 2983. The greatest factor of 2983 is 2983.
4. How to Find the LCM of 2979 and 2983?
Answer:
Least Common Multiple of 2979 and 2983 = 8886357
Step 1: Find the prime factorization of 2979
2979 = 3 x 3 x 331
Step 2: Find the prime factorization of 2983
2983 = 19 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8886357 = 3 x 3 x 19 x 157 x 331
Step 4: Therefore, the least common multiple of 2979 and 2983 is 8886357.