Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2973 and 2981 the smallest integer that is 8862513 that is divisible by both numbers.
Least Common Multiple (LCM) of 2973 and 2981 is 8862513.
LCM(2973,2981) = 8862513
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 2973 and 2981. First we will calculate the prime factors of 2973 and 2981.
Prime Factorization of 2973
3 | 2973 |
991 | 991 |
1 |
Prime factors of 2973 are 3,991. Prime factorization of 2973 in exponential form is:
2973 = 31×9911
Prime Factorization of 2981
11 | 2981 |
271 | 271 |
1 |
Prime factors of 2981 are 11,271. Prime factorization of 2981 in exponential form is:
2981 = 111×2711
Now multiplying the highest exponent prime factors to calculate the LCM of 2973 and 2981.
LCM(2973,2981) = 31×111×2711×9911
LCM(2973,2981) = 8862513
Factors of 2973
List of positive integer factors of 2973 that divides 2973 without a remainder.
1, 3, 991, 2973
Factors of 2981
List of positive integer factors of 2981 that divides 2981 without a remainder.
1, 11, 271, 2981
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2973 and 2981, than apply into the LCM equation.
GCF(2973,2981) = 1
LCM(2973,2981) = ( 2973 × 2981) / 1
LCM(2973,2981) = 8862513 / 1
LCM(2973,2981) = 8862513
(i) The LCM of 2981 and 2973 is associative
LCM of 2973 and 2981 = LCM of 2981 and 2973
1. What is the LCM of 2973 and 2981?
Answer: LCM of 2973 and 2981 is 8862513.
2. What are the Factors of 2973?
Answer: Factors of 2973 are 1, 3, 991, 2973. There are 4 integers that are factors of 2973. The greatest factor of 2973 is 2973.
3. What are the Factors of 2981?
Answer: Factors of 2981 are 1, 11, 271, 2981. There are 4 integers that are factors of 2981. The greatest factor of 2981 is 2981.
4. How to Find the LCM of 2973 and 2981?
Answer:
Least Common Multiple of 2973 and 2981 = 8862513
Step 1: Find the prime factorization of 2973
2973 = 3 x 991
Step 2: Find the prime factorization of 2981
2981 = 11 x 271
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8862513 = 3 x 11 x 271 x 991
Step 4: Therefore, the least common multiple of 2973 and 2981 is 8862513.