Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6088 and 6094 the smallest integer that is 18550136 that is divisible by both numbers.
Least Common Multiple (LCM) of 6088 and 6094 is 18550136.
LCM(6088,6094) = 18550136
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 6088 and 6094. First we will calculate the prime factors of 6088 and 6094.
Prime Factorization of 6088
2 | 6088 |
2 | 3044 |
2 | 1522 |
761 | 761 |
1 |
Prime factors of 6088 are 2,761. Prime factorization of 6088 in exponential form is:
6088 = 23×7611
Prime Factorization of 6094
2 | 6094 |
11 | 3047 |
277 | 277 |
1 |
Prime factors of 6094 are 2, 11,277. Prime factorization of 6094 in exponential form is:
6094 = 21×111×2771
Now multiplying the highest exponent prime factors to calculate the LCM of 6088 and 6094.
LCM(6088,6094) = 23×111×2771×7611
LCM(6088,6094) = 18550136
Factors of 6088
List of positive integer factors of 6088 that divides 6088 without a remainder.
1, 2, 4, 8, 761, 1522, 3044, 6088
Factors of 6094
List of positive integer factors of 6094 that divides 6094 without a remainder.
1, 2, 11, 22, 277, 554, 3047, 6094
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6088 and 6094, than apply into the LCM equation.
GCF(6088,6094) = 2
LCM(6088,6094) = ( 6088 × 6094) / 2
LCM(6088,6094) = 37100272 / 2
LCM(6088,6094) = 18550136
(i) The LCM of 6094 and 6088 is associative
LCM of 6088 and 6094 = LCM of 6094 and 6088
1. What is the LCM of 6088 and 6094?
Answer: LCM of 6088 and 6094 is 18550136.
2. What are the Factors of 6088?
Answer: Factors of 6088 are 1, 2, 4, 8, 761, 1522, 3044, 6088. There are 8 integers that are factors of 6088. The greatest factor of 6088 is 6088.
3. What are the Factors of 6094?
Answer: Factors of 6094 are 1, 2, 11, 22, 277, 554, 3047, 6094. There are 8 integers that are factors of 6094. The greatest factor of 6094 is 6094.
4. How to Find the LCM of 6088 and 6094?
Answer:
Least Common Multiple of 6088 and 6094 = 18550136
Step 1: Find the prime factorization of 6088
6088 = 2 x 2 x 2 x 761
Step 2: Find the prime factorization of 6094
6094 = 2 x 11 x 277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18550136 = 2 x 2 x 2 x 11 x 277 x 761
Step 4: Therefore, the least common multiple of 6088 and 6094 is 18550136.