Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6910 and 6918 the smallest integer that is 23901690 that is divisible by both numbers.
Least Common Multiple (LCM) of 6910 and 6918 is 23901690.
LCM(6910,6918) = 23901690
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 6910 and 6918. First we will calculate the prime factors of 6910 and 6918.
Prime Factorization of 6910
2 | 6910 |
5 | 3455 |
691 | 691 |
1 |
Prime factors of 6910 are 2, 5,691. Prime factorization of 6910 in exponential form is:
6910 = 21×51×6911
Prime Factorization of 6918
2 | 6918 |
3 | 3459 |
1153 | 1153 |
1 |
Prime factors of 6918 are 2, 3,1153. Prime factorization of 6918 in exponential form is:
6918 = 21×31×11531
Now multiplying the highest exponent prime factors to calculate the LCM of 6910 and 6918.
LCM(6910,6918) = 21×31×51×6911×11531
LCM(6910,6918) = 23901690
Factors of 6910
List of positive integer factors of 6910 that divides 6910 without a remainder.
1, 2, 5, 10, 691, 1382, 3455, 6910
Factors of 6918
List of positive integer factors of 6918 that divides 6918 without a remainder.
1, 2, 3, 6, 1153, 2306, 3459, 6918
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6910 and 6918, than apply into the LCM equation.
GCF(6910,6918) = 2
LCM(6910,6918) = ( 6910 × 6918) / 2
LCM(6910,6918) = 47803380 / 2
LCM(6910,6918) = 23901690
(i) The LCM of 6918 and 6910 is associative
LCM of 6910 and 6918 = LCM of 6918 and 6910
1. What is the LCM of 6910 and 6918?
Answer: LCM of 6910 and 6918 is 23901690.
2. What are the Factors of 6910?
Answer: Factors of 6910 are 1, 2, 5, 10, 691, 1382, 3455, 6910. There are 8 integers that are factors of 6910. The greatest factor of 6910 is 6910.
3. What are the Factors of 6918?
Answer: Factors of 6918 are 1, 2, 3, 6, 1153, 2306, 3459, 6918. There are 8 integers that are factors of 6918. The greatest factor of 6918 is 6918.
4. How to Find the LCM of 6910 and 6918?
Answer:
Least Common Multiple of 6910 and 6918 = 23901690
Step 1: Find the prime factorization of 6910
6910 = 2 x 5 x 691
Step 2: Find the prime factorization of 6918
6918 = 2 x 3 x 1153
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23901690 = 2 x 3 x 5 x 691 x 1153
Step 4: Therefore, the least common multiple of 6910 and 6918 is 23901690.