Least Common Multiple of 7962 and 7967
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7962 and 7967 the smallest integer that is 63433254 that is divisible by both numbers.
Least Common Multiple (LCM) of 7962 and 7967 is 63433254.
LCM(7962,7967) = 63433254
LCM of 7962 and 7967
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7962 and 7967 by Prime method
- Least Common Multiple of 7962 and 7967 with GCF Formula
LCM of 7962 and 7967 is 63433254
Least common multiple can be found by multiplying the highest exponent prime factors of 7962 and 7967. First we will calculate the prime factors of 7962 and 7967.
Prime Factorization of 7962
| 2 | 7962 |
| 3 | 3981 |
| 1327 | 1327 |
| 1 |
Prime factors of 7962 are 2, 3,1327. Prime factorization of 7962 in exponential form is:
7962 = 21×31×13271
Prime Factorization of 7967
| 31 | 7967 |
| 257 | 257 |
| 1 |
Prime factors of 7967 are 31,257. Prime factorization of 7967 in exponential form is:
7967 = 311×2571
Now multiplying the highest exponent prime factors to calculate the LCM of 7962 and 7967.
LCM(7962,7967) = 21×31×311×2571×13271
LCM(7962,7967) = 63433254
Factors of 7962
List of positive integer factors of 7962 that divides 7962 without a remainder.
1, 2, 3, 6, 1327, 2654, 3981, 7962
Factors of 7967
List of positive integer factors of 7967 that divides 7967 without a remainder.
1, 31, 257, 7967
Least Common Multiple of 7962 and 7967 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7962 and 7967, than apply into the LCM equation.
GCF(7962,7967) = 1
LCM(7962,7967) = ( 7962 × 7967) / 1
LCM(7962,7967) = 63433254 / 1
LCM(7962,7967) = 63433254
Properties of LCM 7962 and 7967
(i) The LCM of 7967 and 7962 is associative
LCM of 7962 and 7967 = LCM of 7967 and 7962
Related Least Common Multiples of 7962
Related Least Common Multiples of 7967
Frequently Asked Questions on LCM of 7962 and 7967
1. What is the LCM of 7962 and 7967?
Answer: LCM of 7962 and 7967 is 63433254.
2. What are the Factors of 7962?
Answer: Factors of 7962 are 1, 2, 3, 6, 1327, 2654, 3981, 7962. There are 8 integers that are factors of 7962. The greatest factor of 7962 is 7962.
3. What are the Factors of 7967?
Answer: Factors of 7967 are 1, 31, 257, 7967. There are 4 integers that are factors of 7967. The greatest factor of 7967 is 7967.
4. How to Find the LCM of 7962 and 7967?
Answer:
Least Common Multiple of 7962 and 7967 = 63433254
Step 1: Find the prime factorization of 7962
7962 = 2 x 3 x 1327
Step 2: Find the prime factorization of 7967
7967 = 31 x 257
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63433254 = 2 x 3 x 31 x 257 x 1327
Step 4: Therefore, the least common multiple of 7962 and 7967 is 63433254.