Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3129 and 3137 the smallest integer that is 9815673 that is divisible by both numbers.
Least Common Multiple (LCM) of 3129 and 3137 is 9815673.
LCM(3129,3137) = 9815673
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 3129 and 3137. First we will calculate the prime factors of 3129 and 3137.
Prime Factorization of 3129
3 | 3129 |
7 | 1043 |
149 | 149 |
1 |
Prime factors of 3129 are 3, 7,149. Prime factorization of 3129 in exponential form is:
3129 = 31×71×1491
Prime Factorization of 3137
3137 | 3137 |
1 |
Prime factors of 3137 are 3137. Prime factorization of 3137 in exponential form is:
3137 = 31371
Now multiplying the highest exponent prime factors to calculate the LCM of 3129 and 3137.
LCM(3129,3137) = 31×71×1491×31371
LCM(3129,3137) = 9815673
Factors of 3129
List of positive integer factors of 3129 that divides 3129 without a remainder.
1, 3, 7, 21, 149, 447, 1043, 3129
Factors of 3137
List of positive integer factors of 3137 that divides 3137 without a remainder.
1, 3137
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3129 and 3137, than apply into the LCM equation.
GCF(3129,3137) = 1
LCM(3129,3137) = ( 3129 × 3137) / 1
LCM(3129,3137) = 9815673 / 1
LCM(3129,3137) = 9815673
(i) The LCM of 3137 and 3129 is associative
LCM of 3129 and 3137 = LCM of 3137 and 3129
1. What is the LCM of 3129 and 3137?
Answer: LCM of 3129 and 3137 is 9815673.
2. What are the Factors of 3129?
Answer: Factors of 3129 are 1, 3, 7, 21, 149, 447, 1043, 3129. There are 8 integers that are factors of 3129. The greatest factor of 3129 is 3129.
3. What are the Factors of 3137?
Answer: Factors of 3137 are 1, 3137. There are 2 integers that are factors of 3137. The greatest factor of 3137 is 3137.
4. How to Find the LCM of 3129 and 3137?
Answer:
Least Common Multiple of 3129 and 3137 = 9815673
Step 1: Find the prime factorization of 3129
3129 = 3 x 7 x 149
Step 2: Find the prime factorization of 3137
3137 = 3137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9815673 = 3 x 7 x 149 x 3137
Step 4: Therefore, the least common multiple of 3129 and 3137 is 9815673.