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 4132 the smallest integer that is 17052764 that is divisible by both numbers.
Least Common Multiple (LCM) of 4127 and 4132 is 17052764.
LCM(4127,4132) = 17052764
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 4132. First we will calculate the prime factors of 4127 and 4132.
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 4132
2 | 4132 |
2 | 2066 |
1033 | 1033 |
1 |
Prime factors of 4132 are 2,1033. Prime factorization of 4132 in exponential form is:
4132 = 22×10331
Now multiplying the highest exponent prime factors to calculate the LCM of 4127 and 4132.
LCM(4127,4132) = 22×10331×41271
LCM(4127,4132) = 17052764
Factors of 4127
List of positive integer factors of 4127 that divides 4127 without a remainder.
1, 4127
Factors of 4132
List of positive integer factors of 4132 that divides 4132 without a remainder.
1, 2, 4, 1033, 2066, 4132
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4127 and 4132, than apply into the LCM equation.
GCF(4127,4132) = 1
LCM(4127,4132) = ( 4127 × 4132) / 1
LCM(4127,4132) = 17052764 / 1
LCM(4127,4132) = 17052764
(i) The LCM of 4132 and 4127 is associative
LCM of 4127 and 4132 = LCM of 4132 and 4127
1. What is the LCM of 4127 and 4132?
Answer: LCM of 4127 and 4132 is 17052764.
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 4132?
Answer: Factors of 4132 are 1, 2, 4, 1033, 2066, 4132. There are 6 integers that are factors of 4132. The greatest factor of 4132 is 4132.
4. How to Find the LCM of 4127 and 4132?
Answer:
Least Common Multiple of 4127 and 4132 = 17052764
Step 1: Find the prime factorization of 4127
4127 = 4127
Step 2: Find the prime factorization of 4132
4132 = 2 x 2 x 1033
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17052764 = 2 x 2 x 1033 x 4127
Step 4: Therefore, the least common multiple of 4127 and 4132 is 17052764.