Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3127 and 3134 the smallest integer that is 9800018 that is divisible by both numbers.
Least Common Multiple (LCM) of 3127 and 3134 is 9800018.
LCM(3127,3134) = 9800018
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 3127 and 3134. First we will calculate the prime factors of 3127 and 3134.
Prime Factorization of 3127
53 | 3127 |
59 | 59 |
1 |
Prime factors of 3127 are 53,59. Prime factorization of 3127 in exponential form is:
3127 = 531×591
Prime Factorization of 3134
2 | 3134 |
1567 | 1567 |
1 |
Prime factors of 3134 are 2,1567. Prime factorization of 3134 in exponential form is:
3134 = 21×15671
Now multiplying the highest exponent prime factors to calculate the LCM of 3127 and 3134.
LCM(3127,3134) = 21×531×591×15671
LCM(3127,3134) = 9800018
Factors of 3127
List of positive integer factors of 3127 that divides 3127 without a remainder.
1, 53, 59, 3127
Factors of 3134
List of positive integer factors of 3134 that divides 3134 without a remainder.
1, 2, 1567, 3134
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3127 and 3134, than apply into the LCM equation.
GCF(3127,3134) = 1
LCM(3127,3134) = ( 3127 × 3134) / 1
LCM(3127,3134) = 9800018 / 1
LCM(3127,3134) = 9800018
(i) The LCM of 3134 and 3127 is associative
LCM of 3127 and 3134 = LCM of 3134 and 3127
1. What is the LCM of 3127 and 3134?
Answer: LCM of 3127 and 3134 is 9800018.
2. What are the Factors of 3127?
Answer: Factors of 3127 are 1, 53, 59, 3127. There are 4 integers that are factors of 3127. The greatest factor of 3127 is 3127.
3. What are the Factors of 3134?
Answer: Factors of 3134 are 1, 2, 1567, 3134. There are 4 integers that are factors of 3134. The greatest factor of 3134 is 3134.
4. How to Find the LCM of 3127 and 3134?
Answer:
Least Common Multiple of 3127 and 3134 = 9800018
Step 1: Find the prime factorization of 3127
3127 = 53 x 59
Step 2: Find the prime factorization of 3134
3134 = 2 x 1567
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9800018 = 2 x 53 x 59 x 1567
Step 4: Therefore, the least common multiple of 3127 and 3134 is 9800018.