Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2970 and 2977 the smallest integer that is 8841690 that is divisible by both numbers.
Least Common Multiple (LCM) of 2970 and 2977 is 8841690.
LCM(2970,2977) = 8841690
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 2970 and 2977. First we will calculate the prime factors of 2970 and 2977.
Prime Factorization of 2970
2 | 2970 |
3 | 1485 |
3 | 495 |
3 | 165 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 2970 are 2, 3, 5,11. Prime factorization of 2970 in exponential form is:
2970 = 21×33×51×111
Prime Factorization of 2977
13 | 2977 |
229 | 229 |
1 |
Prime factors of 2977 are 13,229. Prime factorization of 2977 in exponential form is:
2977 = 131×2291
Now multiplying the highest exponent prime factors to calculate the LCM of 2970 and 2977.
LCM(2970,2977) = 21×33×51×111×131×2291
LCM(2970,2977) = 8841690
Factors of 2970
List of positive integer factors of 2970 that divides 2970 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970
Factors of 2977
List of positive integer factors of 2977 that divides 2977 without a remainder.
1, 13, 229, 2977
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2970 and 2977, than apply into the LCM equation.
GCF(2970,2977) = 1
LCM(2970,2977) = ( 2970 × 2977) / 1
LCM(2970,2977) = 8841690 / 1
LCM(2970,2977) = 8841690
(i) The LCM of 2977 and 2970 is associative
LCM of 2970 and 2977 = LCM of 2977 and 2970
1. What is the LCM of 2970 and 2977?
Answer: LCM of 2970 and 2977 is 8841690.
2. What are the Factors of 2970?
Answer: Factors of 2970 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970. There are 32 integers that are factors of 2970. The greatest factor of 2970 is 2970.
3. What are the Factors of 2977?
Answer: Factors of 2977 are 1, 13, 229, 2977. There are 4 integers that are factors of 2977. The greatest factor of 2977 is 2977.
4. How to Find the LCM of 2970 and 2977?
Answer:
Least Common Multiple of 2970 and 2977 = 8841690
Step 1: Find the prime factorization of 2970
2970 = 2 x 3 x 3 x 3 x 5 x 11
Step 2: Find the prime factorization of 2977
2977 = 13 x 229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8841690 = 2 x 3 x 3 x 3 x 5 x 11 x 13 x 229
Step 4: Therefore, the least common multiple of 2970 and 2977 is 8841690.