Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4127 and 4129 the smallest integer that is 17040383 that is divisible by both numbers.
Least Common Multiple (LCM) of 4127 and 4129 is 17040383.
LCM(4127,4129) = 17040383
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 4127 and 4129. First we will calculate the prime factors of 4127 and 4129.
Prime Factorization of 4127
4127 | 4127 |
1 |
Prime factors of 4127 are 4127. Prime factorization of 4127 in exponential form is:
4127 = 41271
Prime Factorization of 4129
4129 | 4129 |
1 |
Prime factors of 4129 are 4129. Prime factorization of 4129 in exponential form is:
4129 = 41291
Now multiplying the highest exponent prime factors to calculate the LCM of 4127 and 4129.
LCM(4127,4129) = 41271×41291
LCM(4127,4129) = 17040383
Factors of 4127
List of positive integer factors of 4127 that divides 4127 without a remainder.
1, 4127
Factors of 4129
List of positive integer factors of 4129 that divides 4129 without a remainder.
1, 4129
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4127 and 4129, than apply into the LCM equation.
GCF(4127,4129) = 1
LCM(4127,4129) = ( 4127 × 4129) / 1
LCM(4127,4129) = 17040383 / 1
LCM(4127,4129) = 17040383
(i) The LCM of 4129 and 4127 is associative
LCM of 4127 and 4129 = LCM of 4129 and 4127
1. What is the LCM of 4127 and 4129?
Answer: LCM of 4127 and 4129 is 17040383.
2. What are the Factors of 4127?
Answer: Factors of 4127 are 1, 4127. There are 2 integers that are factors of 4127. The greatest factor of 4127 is 4127.
3. What are the Factors of 4129?
Answer: Factors of 4129 are 1, 4129. There are 2 integers that are factors of 4129. The greatest factor of 4129 is 4129.
4. How to Find the LCM of 4127 and 4129?
Answer:
Least Common Multiple of 4127 and 4129 = 17040383
Step 1: Find the prime factorization of 4127
4127 = 4127
Step 2: Find the prime factorization of 4129
4129 = 4129
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17040383 = 4127 x 4129
Step 4: Therefore, the least common multiple of 4127 and 4129 is 17040383.