Least Common Multiple of 27051 and 27059
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 27051 and 27059 the smallest integer that is 731973009 that is divisible by both numbers.
Least Common Multiple (LCM) of 27051 and 27059 is 731973009.
LCM(27051,27059) = 731973009
LCM of 27051 and 27059
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 27051 and 27059 by Prime method
- Least Common Multiple of 27051 and 27059 with GCF Formula
LCM of 27051 and 27059 is 731973009
Least common multiple can be found by multiplying the highest exponent prime factors of 27051 and 27059. First we will calculate the prime factors of 27051 and 27059.
Prime Factorization of 27051
| 3 | 27051 |
| 71 | 9017 |
| 127 | 127 |
| 1 |
Prime factors of 27051 are 3, 71,127. Prime factorization of 27051 in exponential form is:
27051 = 31×711×1271
Prime Factorization of 27059
| 27059 | 27059 |
| 1 |
Prime factors of 27059 are 27059. Prime factorization of 27059 in exponential form is:
27059 = 270591
Now multiplying the highest exponent prime factors to calculate the LCM of 27051 and 27059.
LCM(27051,27059) = 31×711×1271×270591
LCM(27051,27059) = 731973009
Factors of 27051
List of positive integer factors of 27051 that divides 27051 without a remainder.
1, 3, 71, 127, 213, 381, 9017, 27051
Factors of 27059
List of positive integer factors of 27059 that divides 27059 without a remainder.
1, 27059
Least Common Multiple of 27051 and 27059 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27051 and 27059, than apply into the LCM equation.
GCF(27051,27059) = 1
LCM(27051,27059) = ( 27051 × 27059) / 1
LCM(27051,27059) = 731973009 / 1
LCM(27051,27059) = 731973009
Properties of LCM 27051 and 27059
(i) The LCM of 27059 and 27051 is associative
LCM of 27051 and 27059 = LCM of 27059 and 27051
Related Least Common Multiples of 27051
Related Least Common Multiples of 27059
Frequently Asked Questions on LCM of 27051 and 27059
1. What is the LCM of 27051 and 27059?
Answer: LCM of 27051 and 27059 is 731973009.
2. What are the Factors of 27051?
Answer: Factors of 27051 are 1, 3, 71, 127, 213, 381, 9017, 27051. There are 8 integers that are factors of 27051. The greatest factor of 27051 is 27051.
3. What are the Factors of 27059?
Answer: Factors of 27059 are 1, 27059. There are 2 integers that are factors of 27059. The greatest factor of 27059 is 27059.
4. How to Find the LCM of 27051 and 27059?
Answer:
Least Common Multiple of 27051 and 27059 = 731973009
Step 1: Find the prime factorization of 27051
27051 = 3 x 71 x 127
Step 2: Find the prime factorization of 27059
27059 = 27059
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 731973009 = 3 x 71 x 127 x 27059
Step 4: Therefore, the least common multiple of 27051 and 27059 is 731973009.