Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6151 and 6155 the smallest integer that is 37859405 that is divisible by both numbers.
Least Common Multiple (LCM) of 6151 and 6155 is 37859405.
LCM(6151,6155) = 37859405
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 6151 and 6155. First we will calculate the prime factors of 6151 and 6155.
Prime Factorization of 6151
6151 | 6151 |
1 |
Prime factors of 6151 are 6151. Prime factorization of 6151 in exponential form is:
6151 = 61511
Prime Factorization of 6155
5 | 6155 |
1231 | 1231 |
1 |
Prime factors of 6155 are 5,1231. Prime factorization of 6155 in exponential form is:
6155 = 51×12311
Now multiplying the highest exponent prime factors to calculate the LCM of 6151 and 6155.
LCM(6151,6155) = 51×12311×61511
LCM(6151,6155) = 37859405
Factors of 6151
List of positive integer factors of 6151 that divides 6151 without a remainder.
1, 6151
Factors of 6155
List of positive integer factors of 6155 that divides 6155 without a remainder.
1, 5, 1231, 6155
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6151 and 6155, than apply into the LCM equation.
GCF(6151,6155) = 1
LCM(6151,6155) = ( 6151 × 6155) / 1
LCM(6151,6155) = 37859405 / 1
LCM(6151,6155) = 37859405
(i) The LCM of 6155 and 6151 is associative
LCM of 6151 and 6155 = LCM of 6155 and 6151
1. What is the LCM of 6151 and 6155?
Answer: LCM of 6151 and 6155 is 37859405.
2. What are the Factors of 6151?
Answer: Factors of 6151 are 1, 6151. There are 2 integers that are factors of 6151. The greatest factor of 6151 is 6151.
3. What are the Factors of 6155?
Answer: Factors of 6155 are 1, 5, 1231, 6155. There are 4 integers that are factors of 6155. The greatest factor of 6155 is 6155.
4. How to Find the LCM of 6151 and 6155?
Answer:
Least Common Multiple of 6151 and 6155 = 37859405
Step 1: Find the prime factorization of 6151
6151 = 6151
Step 2: Find the prime factorization of 6155
6155 = 5 x 1231
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37859405 = 5 x 1231 x 6151
Step 4: Therefore, the least common multiple of 6151 and 6155 is 37859405.