Least Common Multiple of 66977 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 66977 and 66981 the smallest integer that is 4486186437 that is divisible by both numbers.
Least Common Multiple (LCM) of 66977 and 66981 is 4486186437.
LCM(66977,66981) = 4486186437
LCM of 66977 and 66981
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 66977 and 66981 by Prime method
- Least Common Multiple of 66977 and 66981 with GCF Formula
LCM of 66977 and 66981 is 4486186437
Least common multiple can be found by multiplying the highest exponent prime factors of 66977 and 66981. First we will calculate the prime factors of 66977 and 66981.
Prime Factorization of 66977
| 66977 | 66977 |
| 1 |
Prime factors of 66977 are 66977. Prime factorization of 66977 in exponential form is:
66977 = 669771
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 66977 and 66981.
LCM(66977,66981) = 31×831×2691×669771
LCM(66977,66981) = 4486186437
Factors of 66977
List of positive integer factors of 66977 that divides 66977 without a remainder.
1, 66977
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 66977 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 66977 and 66981, than apply into the LCM equation.
GCF(66977,66981) = 1
LCM(66977,66981) = ( 66977 × 66981) / 1
LCM(66977,66981) = 4486186437 / 1
LCM(66977,66981) = 4486186437
Properties of LCM 66977 and 66981
(i) The LCM of 66981 and 66977 is associative
LCM of 66977 and 66981 = LCM of 66981 and 66977
Related Least Common Multiples of 66977
Related Least Common Multiples of 66981
Frequently Asked Questions on LCM of 66977 and 66981
1. What is the LCM of 66977 and 66981?
Answer: LCM of 66977 and 66981 is 4486186437.
2. What are the Factors of 66977?
Answer: Factors of 66977 are 1, 66977. There are 2 integers that are factors of 66977. The greatest factor of 66977 is 66977.
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 66977 and 66981?
Answer:
Least Common Multiple of 66977 and 66981 = 4486186437
Step 1: Find the prime factorization of 66977
66977 = 66977
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 = 4486186437 = 3 x 83 x 269 x 66977
Step 4: Therefore, the least common multiple of 66977 and 66981 is 4486186437.