Least Common Multiple of 66973 and 66981
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 66973 and 66981 the smallest integer that is 4485918513 that is divisible by both numbers.
Least Common Multiple (LCM) of 66973 and 66981 is 4485918513.
LCM(66973,66981) = 4485918513
LCM of 66973 and 66981
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 66973 and 66981 by Prime method
- Least Common Multiple of 66973 and 66981 with GCF Formula
LCM of 66973 and 66981 is 4485918513
Least common multiple can be found by multiplying the highest exponent prime factors of 66973 and 66981. First we will calculate the prime factors of 66973 and 66981.
Prime Factorization of 66973
| 66973 | 66973 |
| 1 |
Prime factors of 66973 are 66973. Prime factorization of 66973 in exponential form is:
66973 = 669731
Prime Factorization of 66981
| 3 | 66981 |
| 83 | 22327 |
| 269 | 269 |
| 1 |
Prime factors of 66981 are 3, 83,269. Prime factorization of 66981 in exponential form is:
66981 = 31×831×2691
Now multiplying the highest exponent prime factors to calculate the LCM of 66973 and 66981.
LCM(66973,66981) = 31×831×2691×669731
LCM(66973,66981) = 4485918513
Factors of 66973
List of positive integer factors of 66973 that divides 66973 without a remainder.
1, 66973
Factors of 66981
List of positive integer factors of 66981 that divides 66981 without a remainder.
1, 3, 83, 249, 269, 807, 22327, 66981
Least Common Multiple of 66973 and 66981 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66973 and 66981, than apply into the LCM equation.
GCF(66973,66981) = 1
LCM(66973,66981) = ( 66973 × 66981) / 1
LCM(66973,66981) = 4485918513 / 1
LCM(66973,66981) = 4485918513
Properties of LCM 66973 and 66981
(i) The LCM of 66981 and 66973 is associative
LCM of 66973 and 66981 = LCM of 66981 and 66973
Related Least Common Multiples of 66973
Related Least Common Multiples of 66981
Frequently Asked Questions on LCM of 66973 and 66981
1. What is the LCM of 66973 and 66981?
Answer: LCM of 66973 and 66981 is 4485918513.
2. 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.
3. What are the Factors of 66981?
Answer: Factors of 66981 are 1, 3, 83, 249, 269, 807, 22327, 66981. There are 8 integers that are factors of 66981. The greatest factor of 66981 is 66981.
4. How to Find the LCM of 66973 and 66981?
Answer:
Least Common Multiple of 66973 and 66981 = 4485918513
Step 1: Find the prime factorization of 66973
66973 = 66973
Step 2: Find the prime factorization of 66981
66981 = 3 x 83 x 269
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4485918513 = 3 x 83 x 269 x 66973
Step 4: Therefore, the least common multiple of 66973 and 66981 is 4485918513.