Least Common Multiple of 969 and 973
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 969 and 973 the smallest integer that is 942837 that is divisible by both numbers.
Least Common Multiple (LCM) of 969 and 973 is 942837.
LCM(969,973) = 942837
LCM of 969 and 973
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 969 and 973 by Prime method
- Least Common Multiple of 969 and 973 with GCF Formula
LCM of 969 and 973 is 942837
Least common multiple can be found by multiplying the highest exponent prime factors of 969 and 973. First we will calculate the prime factors of 969 and 973.
Prime Factorization of 969
| 3 | 969 |
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 969 are 3, 17,19. Prime factorization of 969 in exponential form is:
969 = 31×171×191
Prime Factorization of 973
| 7 | 973 |
| 139 | 139 |
| 1 |
Prime factors of 973 are 7,139. Prime factorization of 973 in exponential form is:
973 = 71×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 969 and 973.
LCM(969,973) = 31×71×171×191×1391
LCM(969,973) = 942837
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Least Common Multiple of 969 and 973 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 969 and 973, than apply into the LCM equation.
GCF(969,973) = 1
LCM(969,973) = ( 969 × 973) / 1
LCM(969,973) = 942837 / 1
LCM(969,973) = 942837
Properties of LCM 969 and 973
(i) The LCM of 973 and 969 is associative
LCM of 969 and 973 = LCM of 973 and 969
Related Least Common Multiples of 969
Related Least Common Multiples of 973
Frequently Asked Questions on LCM of 969 and 973
1. What is the LCM of 969 and 973?
Answer: LCM of 969 and 973 is 942837.
2. What are the Factors of 969?
Answer: Factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969. There are 8 integers that are factors of 969. The greatest factor of 969 is 969.
3. What are the Factors of 973?
Answer: Factors of 973 are 1, 7, 139, 973. There are 4 integers that are factors of 973. The greatest factor of 973 is 973.
4. How to Find the LCM of 969 and 973?
Answer:
Least Common Multiple of 969 and 973 = 942837
Step 1: Find the prime factorization of 969
969 = 3 x 17 x 19
Step 2: Find the prime factorization of 973
973 = 7 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 942837 = 3 x 7 x 17 x 19 x 139
Step 4: Therefore, the least common multiple of 969 and 973 is 942837.
