Least Common Multiple of 66979 and 66987
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 66979 and 66987 the smallest integer that is 4486722273 that is divisible by both numbers.
Least Common Multiple (LCM) of 66979 and 66987 is 4486722273.
LCM(66979,66987) = 4486722273
LCM of 66979 and 66987
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 66979 and 66987 by Prime method
- Least Common Multiple of 66979 and 66987 with GCF Formula
LCM of 66979 and 66987 is 4486722273
Least common multiple can be found by multiplying the highest exponent prime factors of 66979 and 66987. First we will calculate the prime factors of 66979 and 66987.
Prime Factorization of 66979
| 11 | 66979 |
| 6089 | 6089 |
| 1 |
Prime factors of 66979 are 11,6089. Prime factorization of 66979 in exponential form is:
66979 = 111×60891
Prime Factorization of 66987
| 3 | 66987 |
| 3 | 22329 |
| 3 | 7443 |
| 3 | 2481 |
| 827 | 827 |
| 1 |
Prime factors of 66987 are 3,827. Prime factorization of 66987 in exponential form is:
66987 = 34×8271
Now multiplying the highest exponent prime factors to calculate the LCM of 66979 and 66987.
LCM(66979,66987) = 34×111×8271×60891
LCM(66979,66987) = 4486722273
Factors of 66979
List of positive integer factors of 66979 that divides 66979 without a remainder.
1, 11, 6089, 66979
Factors of 66987
List of positive integer factors of 66987 that divides 66987 without a remainder.
1, 3, 9, 27, 81, 827, 2481, 7443, 22329, 66987
Least Common Multiple of 66979 and 66987 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66979 and 66987, than apply into the LCM equation.
GCF(66979,66987) = 1
LCM(66979,66987) = ( 66979 × 66987) / 1
LCM(66979,66987) = 4486722273 / 1
LCM(66979,66987) = 4486722273
Properties of LCM 66979 and 66987
(i) The LCM of 66987 and 66979 is associative
LCM of 66979 and 66987 = LCM of 66987 and 66979
Related Least Common Multiples of 66979
Related Least Common Multiples of 66987
Frequently Asked Questions on LCM of 66979 and 66987
1. What is the LCM of 66979 and 66987?
Answer: LCM of 66979 and 66987 is 4486722273.
2. What are the Factors of 66979?
Answer: Factors of 66979 are 1, 11, 6089, 66979. There are 4 integers that are factors of 66979. The greatest factor of 66979 is 66979.
3. What are the Factors of 66987?
Answer: Factors of 66987 are 1, 3, 9, 27, 81, 827, 2481, 7443, 22329, 66987. There are 10 integers that are factors of 66987. The greatest factor of 66987 is 66987.
4. How to Find the LCM of 66979 and 66987?
Answer:
Least Common Multiple of 66979 and 66987 = 4486722273
Step 1: Find the prime factorization of 66979
66979 = 11 x 6089
Step 2: Find the prime factorization of 66987
66987 = 3 x 3 x 3 x 3 x 827
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4486722273 = 3 x 3 x 3 x 3 x 11 x 827 x 6089
Step 4: Therefore, the least common multiple of 66979 and 66987 is 4486722273.