Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3911 and 3918 the smallest integer that is 15323298 that is divisible by both numbers.
Least Common Multiple (LCM) of 3911 and 3918 is 15323298.
LCM(3911,3918) = 15323298
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 3911 and 3918. First we will calculate the prime factors of 3911 and 3918.
Prime Factorization of 3911
3911 | 3911 |
1 |
Prime factors of 3911 are 3911. Prime factorization of 3911 in exponential form is:
3911 = 39111
Prime Factorization of 3918
2 | 3918 |
3 | 1959 |
653 | 653 |
1 |
Prime factors of 3918 are 2, 3,653. Prime factorization of 3918 in exponential form is:
3918 = 21×31×6531
Now multiplying the highest exponent prime factors to calculate the LCM of 3911 and 3918.
LCM(3911,3918) = 21×31×6531×39111
LCM(3911,3918) = 15323298
Factors of 3911
List of positive integer factors of 3911 that divides 3911 without a remainder.
1, 3911
Factors of 3918
List of positive integer factors of 3918 that divides 3918 without a remainder.
1, 2, 3, 6, 653, 1306, 1959, 3918
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3911 and 3918, than apply into the LCM equation.
GCF(3911,3918) = 1
LCM(3911,3918) = ( 3911 × 3918) / 1
LCM(3911,3918) = 15323298 / 1
LCM(3911,3918) = 15323298
(i) The LCM of 3918 and 3911 is associative
LCM of 3911 and 3918 = LCM of 3918 and 3911
1. What is the LCM of 3911 and 3918?
Answer: LCM of 3911 and 3918 is 15323298.
2. What are the Factors of 3911?
Answer: Factors of 3911 are 1, 3911. There are 2 integers that are factors of 3911. The greatest factor of 3911 is 3911.
3. What are the Factors of 3918?
Answer: Factors of 3918 are 1, 2, 3, 6, 653, 1306, 1959, 3918. There are 8 integers that are factors of 3918. The greatest factor of 3918 is 3918.
4. How to Find the LCM of 3911 and 3918?
Answer:
Least Common Multiple of 3911 and 3918 = 15323298
Step 1: Find the prime factorization of 3911
3911 = 3911
Step 2: Find the prime factorization of 3918
3918 = 2 x 3 x 653
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15323298 = 2 x 3 x 653 x 3911
Step 4: Therefore, the least common multiple of 3911 and 3918 is 15323298.