Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6155 and 6159 the smallest integer that is 37908645 that is divisible by both numbers.
Least Common Multiple (LCM) of 6155 and 6159 is 37908645.
LCM(6155,6159) = 37908645
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 6155 and 6159. First we will calculate the prime factors of 6155 and 6159.
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
Prime Factorization of 6159
3 | 6159 |
2053 | 2053 |
1 |
Prime factors of 6159 are 3,2053. Prime factorization of 6159 in exponential form is:
6159 = 31×20531
Now multiplying the highest exponent prime factors to calculate the LCM of 6155 and 6159.
LCM(6155,6159) = 31×51×12311×20531
LCM(6155,6159) = 37908645
Factors of 6155
List of positive integer factors of 6155 that divides 6155 without a remainder.
1, 5, 1231, 6155
Factors of 6159
List of positive integer factors of 6159 that divides 6159 without a remainder.
1, 3, 2053, 6159
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6155 and 6159, than apply into the LCM equation.
GCF(6155,6159) = 1
LCM(6155,6159) = ( 6155 × 6159) / 1
LCM(6155,6159) = 37908645 / 1
LCM(6155,6159) = 37908645
(i) The LCM of 6159 and 6155 is associative
LCM of 6155 and 6159 = LCM of 6159 and 6155
1. What is the LCM of 6155 and 6159?
Answer: LCM of 6155 and 6159 is 37908645.
2. 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.
3. What are the Factors of 6159?
Answer: Factors of 6159 are 1, 3, 2053, 6159. There are 4 integers that are factors of 6159. The greatest factor of 6159 is 6159.
4. How to Find the LCM of 6155 and 6159?
Answer:
Least Common Multiple of 6155 and 6159 = 37908645
Step 1: Find the prime factorization of 6155
6155 = 5 x 1231
Step 2: Find the prime factorization of 6159
6159 = 3 x 2053
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37908645 = 3 x 5 x 1231 x 2053
Step 4: Therefore, the least common multiple of 6155 and 6159 is 37908645.