Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3137 and 3141 the smallest integer that is 9853317 that is divisible by both numbers.
Least Common Multiple (LCM) of 3137 and 3141 is 9853317.
LCM(3137,3141) = 9853317
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 3137 and 3141. First we will calculate the prime factors of 3137 and 3141.
Prime Factorization of 3137
3137 | 3137 |
1 |
Prime factors of 3137 are 3137. Prime factorization of 3137 in exponential form is:
3137 = 31371
Prime Factorization of 3141
3 | 3141 |
3 | 1047 |
349 | 349 |
1 |
Prime factors of 3141 are 3,349. Prime factorization of 3141 in exponential form is:
3141 = 32×3491
Now multiplying the highest exponent prime factors to calculate the LCM of 3137 and 3141.
LCM(3137,3141) = 32×3491×31371
LCM(3137,3141) = 9853317
Factors of 3137
List of positive integer factors of 3137 that divides 3137 without a remainder.
1, 3137
Factors of 3141
List of positive integer factors of 3141 that divides 3141 without a remainder.
1, 3, 9, 349, 1047, 3141
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3137 and 3141, than apply into the LCM equation.
GCF(3137,3141) = 1
LCM(3137,3141) = ( 3137 × 3141) / 1
LCM(3137,3141) = 9853317 / 1
LCM(3137,3141) = 9853317
(i) The LCM of 3141 and 3137 is associative
LCM of 3137 and 3141 = LCM of 3141 and 3137
1. What is the LCM of 3137 and 3141?
Answer: LCM of 3137 and 3141 is 9853317.
2. 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.
3. What are the Factors of 3141?
Answer: Factors of 3141 are 1, 3, 9, 349, 1047, 3141. There are 6 integers that are factors of 3141. The greatest factor of 3141 is 3141.
4. How to Find the LCM of 3137 and 3141?
Answer:
Least Common Multiple of 3137 and 3141 = 9853317
Step 1: Find the prime factorization of 3137
3137 = 3137
Step 2: Find the prime factorization of 3141
3141 = 3 x 3 x 349
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9853317 = 3 x 3 x 349 x 3137
Step 4: Therefore, the least common multiple of 3137 and 3141 is 9853317.