Least Common Multiple of 962 and 967
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 962 and 967 the smallest integer that is 930254 that is divisible by both numbers.
Least Common Multiple (LCM) of 962 and 967 is 930254.
LCM(962,967) = 930254
LCM of 962 and 967
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 962 and 967 by Prime method
- Least Common Multiple of 962 and 967 with GCF Formula
LCM of 962 and 967 is 930254
Least common multiple can be found by multiplying the highest exponent prime factors of 962 and 967. First we will calculate the prime factors of 962 and 967.
Prime Factorization of 962
| 2 | 962 |
| 13 | 481 |
| 37 | 37 |
| 1 |
Prime factors of 962 are 2, 13,37. Prime factorization of 962 in exponential form is:
962 = 21×131×371
Prime Factorization of 967
| 967 | 967 |
| 1 |
Prime factors of 967 are 967. Prime factorization of 967 in exponential form is:
967 = 9671
Now multiplying the highest exponent prime factors to calculate the LCM of 962 and 967.
LCM(962,967) = 21×131×371×9671
LCM(962,967) = 930254
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Factors of 967
List of positive integer factors of 967 that divides 967 without a remainder.
1, 967
Least Common Multiple of 962 and 967 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 962 and 967, than apply into the LCM equation.
GCF(962,967) = 1
LCM(962,967) = ( 962 × 967) / 1
LCM(962,967) = 930254 / 1
LCM(962,967) = 930254
Properties of LCM 962 and 967
(i) The LCM of 967 and 962 is associative
LCM of 962 and 967 = LCM of 967 and 962
Related Least Common Multiples of 962
Related Least Common Multiples of 967
Frequently Asked Questions on LCM of 962 and 967
1. What is the LCM of 962 and 967?
Answer: LCM of 962 and 967 is 930254.
2. What are the Factors of 962?
Answer: Factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962. There are 8 integers that are factors of 962. The greatest factor of 962 is 962.
3. What are the Factors of 967?
Answer: Factors of 967 are 1, 967. There are 2 integers that are factors of 967. The greatest factor of 967 is 967.
4. How to Find the LCM of 962 and 967?
Answer:
Least Common Multiple of 962 and 967 = 930254
Step 1: Find the prime factorization of 962
962 = 2 x 13 x 37
Step 2: Find the prime factorization of 967
967 = 967
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 930254 = 2 x 13 x 37 x 967
Step 4: Therefore, the least common multiple of 962 and 967 is 930254.
