Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5921 and 5926 the smallest integer that is 35087846 that is divisible by both numbers.
Least Common Multiple (LCM) of 5921 and 5926 is 35087846.
LCM(5921,5926) = 35087846
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 5921 and 5926. First we will calculate the prime factors of 5921 and 5926.
Prime Factorization of 5921
31 | 5921 |
191 | 191 |
1 |
Prime factors of 5921 are 31,191. Prime factorization of 5921 in exponential form is:
5921 = 311×1911
Prime Factorization of 5926
2 | 5926 |
2963 | 2963 |
1 |
Prime factors of 5926 are 2,2963. Prime factorization of 5926 in exponential form is:
5926 = 21×29631
Now multiplying the highest exponent prime factors to calculate the LCM of 5921 and 5926.
LCM(5921,5926) = 21×311×1911×29631
LCM(5921,5926) = 35087846
Factors of 5921
List of positive integer factors of 5921 that divides 5921 without a remainder.
1, 31, 191, 5921
Factors of 5926
List of positive integer factors of 5926 that divides 5926 without a remainder.
1, 2, 2963, 5926
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5921 and 5926, than apply into the LCM equation.
GCF(5921,5926) = 1
LCM(5921,5926) = ( 5921 × 5926) / 1
LCM(5921,5926) = 35087846 / 1
LCM(5921,5926) = 35087846
(i) The LCM of 5926 and 5921 is associative
LCM of 5921 and 5926 = LCM of 5926 and 5921
1. What is the LCM of 5921 and 5926?
Answer: LCM of 5921 and 5926 is 35087846.
2. What are the Factors of 5921?
Answer: Factors of 5921 are 1, 31, 191, 5921. There are 4 integers that are factors of 5921. The greatest factor of 5921 is 5921.
3. What are the Factors of 5926?
Answer: Factors of 5926 are 1, 2, 2963, 5926. There are 4 integers that are factors of 5926. The greatest factor of 5926 is 5926.
4. How to Find the LCM of 5921 and 5926?
Answer:
Least Common Multiple of 5921 and 5926 = 35087846
Step 1: Find the prime factorization of 5921
5921 = 31 x 191
Step 2: Find the prime factorization of 5926
5926 = 2 x 2963
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35087846 = 2 x 31 x 191 x 2963
Step 4: Therefore, the least common multiple of 5921 and 5926 is 35087846.