Least Common Multiple of 66987 and 66994
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 66987 and 66994 the smallest integer that is 4487727078 that is divisible by both numbers.
Least Common Multiple (LCM) of 66987 and 66994 is 4487727078.
LCM(66987,66994) = 4487727078
LCM of 66987 and 66994
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 66987 and 66994 by Prime method
- Least Common Multiple of 66987 and 66994 with GCF Formula
LCM of 66987 and 66994 is 4487727078
Least common multiple can be found by multiplying the highest exponent prime factors of 66987 and 66994. First we will calculate the prime factors of 66987 and 66994.
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
Prime Factorization of 66994
| 2 | 66994 |
| 19 | 33497 |
| 41 | 1763 |
| 43 | 43 |
| 1 |
Prime factors of 66994 are 2, 19, 41,43. Prime factorization of 66994 in exponential form is:
66994 = 21×191×411×431
Now multiplying the highest exponent prime factors to calculate the LCM of 66987 and 66994.
LCM(66987,66994) = 21×34×191×411×431×8271
LCM(66987,66994) = 4487727078
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
Factors of 66994
List of positive integer factors of 66994 that divides 66994 without a remainder.
1, 2, 19, 38, 41, 43, 82, 86, 779, 817, 1558, 1634, 1763, 3526, 33497, 66994
Least Common Multiple of 66987 and 66994 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66987 and 66994, than apply into the LCM equation.
GCF(66987,66994) = 1
LCM(66987,66994) = ( 66987 × 66994) / 1
LCM(66987,66994) = 4487727078 / 1
LCM(66987,66994) = 4487727078
Properties of LCM 66987 and 66994
(i) The LCM of 66994 and 66987 is associative
LCM of 66987 and 66994 = LCM of 66994 and 66987
Related Least Common Multiples of 66987
Related Least Common Multiples of 66994
Frequently Asked Questions on LCM of 66987 and 66994
1. What is the LCM of 66987 and 66994?
Answer: LCM of 66987 and 66994 is 4487727078.
2. 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.
3. What are the Factors of 66994?
Answer: Factors of 66994 are 1, 2, 19, 38, 41, 43, 82, 86, 779, 817, 1558, 1634, 1763, 3526, 33497, 66994. There are 16 integers that are factors of 66994. The greatest factor of 66994 is 66994.
4. How to Find the LCM of 66987 and 66994?
Answer:
Least Common Multiple of 66987 and 66994 = 4487727078
Step 1: Find the prime factorization of 66987
66987 = 3 x 3 x 3 x 3 x 827
Step 2: Find the prime factorization of 66994
66994 = 2 x 19 x 41 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4487727078 = 2 x 3 x 3 x 3 x 3 x 19 x 41 x 43 x 827
Step 4: Therefore, the least common multiple of 66987 and 66994 is 4487727078.