Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6965 and 6970 the smallest integer that is 9709210 that is divisible by both numbers.
Least Common Multiple (LCM) of 6965 and 6970 is 9709210.
LCM(6965,6970) = 9709210
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 6965 and 6970. First we will calculate the prime factors of 6965 and 6970.
Prime Factorization of 6965
5 | 6965 |
7 | 1393 |
199 | 199 |
1 |
Prime factors of 6965 are 5, 7,199. Prime factorization of 6965 in exponential form is:
6965 = 51×71×1991
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 6965 and 6970.
LCM(6965,6970) = 21×51×71×171×411×1991
LCM(6965,6970) = 9709210
Factors of 6965
List of positive integer factors of 6965 that divides 6965 without a remainder.
1, 5, 7, 35, 199, 995, 1393, 6965
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6965 and 6970, than apply into the LCM equation.
GCF(6965,6970) = 5
LCM(6965,6970) = ( 6965 × 6970) / 5
LCM(6965,6970) = 48546050 / 5
LCM(6965,6970) = 9709210
(i) The LCM of 6970 and 6965 is associative
LCM of 6965 and 6970 = LCM of 6970 and 6965
1. What is the LCM of 6965 and 6970?
Answer: LCM of 6965 and 6970 is 9709210.
2. What are the Factors of 6965?
Answer: Factors of 6965 are 1, 5, 7, 35, 199, 995, 1393, 6965. There are 8 integers that are factors of 6965. The greatest factor of 6965 is 6965.
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 6965 and 6970?
Answer:
Least Common Multiple of 6965 and 6970 = 9709210
Step 1: Find the prime factorization of 6965
6965 = 5 x 7 x 199
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 = 9709210 = 2 x 5 x 7 x 17 x 41 x 199
Step 4: Therefore, the least common multiple of 6965 and 6970 is 9709210.