Least Common Multiple of 6963 and 6970
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6963 and 6970 the smallest integer that is 48532110 that is divisible by both numbers.
Least Common Multiple (LCM) of 6963 and 6970 is 48532110.
LCM(6963,6970) = 48532110
LCM of 6963 and 6970
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6963 and 6970 by Prime method
- Least Common Multiple of 6963 and 6970 with GCF Formula
LCM of 6963 and 6970 is 48532110
Least common multiple can be found by multiplying the highest exponent prime factors of 6963 and 6970. First we will calculate the prime factors of 6963 and 6970.
Prime Factorization of 6963
| 3 | 6963 |
| 11 | 2321 |
| 211 | 211 |
| 1 |
Prime factors of 6963 are 3, 11,211. Prime factorization of 6963 in exponential form is:
6963 = 31×111×2111
Prime Factorization of 6970
| 2 | 6970 |
| 5 | 3485 |
| 17 | 697 |
| 41 | 41 |
| 1 |
Prime factors of 6970 are 2, 5, 17,41. Prime factorization of 6970 in exponential form is:
6970 = 21×51×171×411
Now multiplying the highest exponent prime factors to calculate the LCM of 6963 and 6970.
LCM(6963,6970) = 21×31×51×111×171×411×2111
LCM(6963,6970) = 48532110
Factors of 6963
List of positive integer factors of 6963 that divides 6963 without a remainder.
1, 3, 11, 33, 211, 633, 2321, 6963
Factors of 6970
List of positive integer factors of 6970 that divides 6970 without a remainder.
1, 2, 5, 10, 17, 34, 41, 82, 85, 170, 205, 410, 697, 1394, 3485, 6970
Least Common Multiple of 6963 and 6970 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6963 and 6970, than apply into the LCM equation.
GCF(6963,6970) = 1
LCM(6963,6970) = ( 6963 × 6970) / 1
LCM(6963,6970) = 48532110 / 1
LCM(6963,6970) = 48532110
Properties of LCM 6963 and 6970
(i) The LCM of 6970 and 6963 is associative
LCM of 6963 and 6970 = LCM of 6970 and 6963
Related Least Common Multiples of 6963
Related Least Common Multiples of 6970
Frequently Asked Questions on LCM of 6963 and 6970
1. What is the LCM of 6963 and 6970?
Answer: LCM of 6963 and 6970 is 48532110.
2. What are the Factors of 6963?
Answer: Factors of 6963 are 1, 3, 11, 33, 211, 633, 2321, 6963. There are 8 integers that are factors of 6963. The greatest factor of 6963 is 6963.
3. What are the Factors of 6970?
Answer: Factors of 6970 are 1, 2, 5, 10, 17, 34, 41, 82, 85, 170, 205, 410, 697, 1394, 3485, 6970. There are 16 integers that are factors of 6970. The greatest factor of 6970 is 6970.
4. How to Find the LCM of 6963 and 6970?
Answer:
Least Common Multiple of 6963 and 6970 = 48532110
Step 1: Find the prime factorization of 6963
6963 = 3 x 11 x 211
Step 2: Find the prime factorization of 6970
6970 = 2 x 5 x 17 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48532110 = 2 x 3 x 5 x 11 x 17 x 41 x 211
Step 4: Therefore, the least common multiple of 6963 and 6970 is 48532110.