Least Common Multiple of 66967 and 66973
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 66967 and 66973 the smallest integer that is 4484980891 that is divisible by both numbers.
Least Common Multiple (LCM) of 66967 and 66973 is 4484980891.
LCM(66967,66973) = 4484980891
LCM of 66967 and 66973
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 66967 and 66973 by Prime method
- Least Common Multiple of 66967 and 66973 with GCF Formula
LCM of 66967 and 66973 is 4484980891
Least common multiple can be found by multiplying the highest exponent prime factors of 66967 and 66973. First we will calculate the prime factors of 66967 and 66973.
Prime Factorization of 66967
| 167 | 66967 |
| 401 | 401 |
| 1 |
Prime factors of 66967 are 167,401. Prime factorization of 66967 in exponential form is:
66967 = 1671×4011
Prime Factorization of 66973
| 66973 | 66973 |
| 1 |
Prime factors of 66973 are 66973. Prime factorization of 66973 in exponential form is:
66973 = 669731
Now multiplying the highest exponent prime factors to calculate the LCM of 66967 and 66973.
LCM(66967,66973) = 1671×4011×669731
LCM(66967,66973) = 4484980891
Factors of 66967
List of positive integer factors of 66967 that divides 66967 without a remainder.
1, 167, 401, 66967
Factors of 66973
List of positive integer factors of 66973 that divides 66973 without a remainder.
1, 66973
Least Common Multiple of 66967 and 66973 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66967 and 66973, than apply into the LCM equation.
GCF(66967,66973) = 1
LCM(66967,66973) = ( 66967 × 66973) / 1
LCM(66967,66973) = 4484980891 / 1
LCM(66967,66973) = 4484980891
Properties of LCM 66967 and 66973
(i) The LCM of 66973 and 66967 is associative
LCM of 66967 and 66973 = LCM of 66973 and 66967
Related Least Common Multiples of 66967
Related Least Common Multiples of 66973
Frequently Asked Questions on LCM of 66967 and 66973
1. What is the LCM of 66967 and 66973?
Answer: LCM of 66967 and 66973 is 4484980891.
2. What are the Factors of 66967?
Answer: Factors of 66967 are 1, 167, 401, 66967. There are 4 integers that are factors of 66967. The greatest factor of 66967 is 66967.
3. What are the Factors of 66973?
Answer: Factors of 66973 are 1, 66973. There are 2 integers that are factors of 66973. The greatest factor of 66973 is 66973.
4. How to Find the LCM of 66967 and 66973?
Answer:
Least Common Multiple of 66967 and 66973 = 4484980891
Step 1: Find the prime factorization of 66967
66967 = 167 x 401
Step 2: Find the prime factorization of 66973
66973 = 66973
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4484980891 = 167 x 401 x 66973
Step 4: Therefore, the least common multiple of 66967 and 66973 is 4484980891.