Least Common Multiple of 66983 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 66983 and 66987 the smallest integer that is 4486990221 that is divisible by both numbers.
Least Common Multiple (LCM) of 66983 and 66987 is 4486990221.
LCM(66983,66987) = 4486990221
LCM of 66983 and 66987
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 66983 and 66987 by Prime method
- Least Common Multiple of 66983 and 66987 with GCF Formula
LCM of 66983 and 66987 is 4486990221
Least common multiple can be found by multiplying the highest exponent prime factors of 66983 and 66987. First we will calculate the prime factors of 66983 and 66987.
Prime Factorization of 66983
| 7 | 66983 |
| 7 | 9569 |
| 1367 | 1367 |
| 1 |
Prime factors of 66983 are 7,1367. Prime factorization of 66983 in exponential form is:
66983 = 72×13671
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 66983 and 66987.
LCM(66983,66987) = 34×72×8271×13671
LCM(66983,66987) = 4486990221
Factors of 66983
List of positive integer factors of 66983 that divides 66983 without a remainder.
1, 7, 49, 1367, 9569, 66983
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 66983 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 66983 and 66987, than apply into the LCM equation.
GCF(66983,66987) = 1
LCM(66983,66987) = ( 66983 × 66987) / 1
LCM(66983,66987) = 4486990221 / 1
LCM(66983,66987) = 4486990221
Properties of LCM 66983 and 66987
(i) The LCM of 66987 and 66983 is associative
LCM of 66983 and 66987 = LCM of 66987 and 66983
Related Least Common Multiples of 66983
Related Least Common Multiples of 66987
Frequently Asked Questions on LCM of 66983 and 66987
1. What is the LCM of 66983 and 66987?
Answer: LCM of 66983 and 66987 is 4486990221.
2. What are the Factors of 66983?
Answer: Factors of 66983 are 1, 7, 49, 1367, 9569, 66983. There are 6 integers that are factors of 66983. The greatest factor of 66983 is 66983.
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 66983 and 66987?
Answer:
Least Common Multiple of 66983 and 66987 = 4486990221
Step 1: Find the prime factorization of 66983
66983 = 7 x 7 x 1367
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 = 4486990221 = 3 x 3 x 3 x 3 x 7 x 7 x 827 x 1367
Step 4: Therefore, the least common multiple of 66983 and 66987 is 4486990221.