Least Common Multiple of 5962 and 5969
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5962 and 5969 the smallest integer that is 35587178 that is divisible by both numbers.
Least Common Multiple (LCM) of 5962 and 5969 is 35587178.
LCM(5962,5969) = 35587178
LCM of 5962 and 5969
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5962 and 5969 by Prime method
- Least Common Multiple of 5962 and 5969 with GCF Formula
LCM of 5962 and 5969 is 35587178
Least common multiple can be found by multiplying the highest exponent prime factors of 5962 and 5969. First we will calculate the prime factors of 5962 and 5969.
Prime Factorization of 5962
| 2 | 5962 |
| 11 | 2981 |
| 271 | 271 |
| 1 |
Prime factors of 5962 are 2, 11,271. Prime factorization of 5962 in exponential form is:
5962 = 21×111×2711
Prime Factorization of 5969
| 47 | 5969 |
| 127 | 127 |
| 1 |
Prime factors of 5969 are 47,127. Prime factorization of 5969 in exponential form is:
5969 = 471×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 5962 and 5969.
LCM(5962,5969) = 21×111×471×1271×2711
LCM(5962,5969) = 35587178
Factors of 5962
List of positive integer factors of 5962 that divides 5962 without a remainder.
1, 2, 11, 22, 271, 542, 2981, 5962
Factors of 5969
List of positive integer factors of 5969 that divides 5969 without a remainder.
1, 47, 127, 5969
Least Common Multiple of 5962 and 5969 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5962 and 5969, than apply into the LCM equation.
GCF(5962,5969) = 1
LCM(5962,5969) = ( 5962 × 5969) / 1
LCM(5962,5969) = 35587178 / 1
LCM(5962,5969) = 35587178
Properties of LCM 5962 and 5969
(i) The LCM of 5969 and 5962 is associative
LCM of 5962 and 5969 = LCM of 5969 and 5962
Related Least Common Multiples of 5962
Related Least Common Multiples of 5969
Frequently Asked Questions on LCM of 5962 and 5969
1. What is the LCM of 5962 and 5969?
Answer: LCM of 5962 and 5969 is 35587178.
2. What are the Factors of 5962?
Answer: Factors of 5962 are 1, 2, 11, 22, 271, 542, 2981, 5962. There are 8 integers that are factors of 5962. The greatest factor of 5962 is 5962.
3. What are the Factors of 5969?
Answer: Factors of 5969 are 1, 47, 127, 5969. There are 4 integers that are factors of 5969. The greatest factor of 5969 is 5969.
4. How to Find the LCM of 5962 and 5969?
Answer:
Least Common Multiple of 5962 and 5969 = 35587178
Step 1: Find the prime factorization of 5962
5962 = 2 x 11 x 271
Step 2: Find the prime factorization of 5969
5969 = 47 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35587178 = 2 x 11 x 47 x 127 x 271
Step 4: Therefore, the least common multiple of 5962 and 5969 is 35587178.