Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5953 and 5961 the smallest integer that is 35485833 that is divisible by both numbers.
Least Common Multiple (LCM) of 5953 and 5961 is 35485833.
LCM(5953,5961) = 35485833
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 5953 and 5961. First we will calculate the prime factors of 5953 and 5961.
Prime Factorization of 5953
5953 | 5953 |
1 |
Prime factors of 5953 are 5953. Prime factorization of 5953 in exponential form is:
5953 = 59531
Prime Factorization of 5961
3 | 5961 |
1987 | 1987 |
1 |
Prime factors of 5961 are 3,1987. Prime factorization of 5961 in exponential form is:
5961 = 31×19871
Now multiplying the highest exponent prime factors to calculate the LCM of 5953 and 5961.
LCM(5953,5961) = 31×19871×59531
LCM(5953,5961) = 35485833
Factors of 5953
List of positive integer factors of 5953 that divides 5953 without a remainder.
1, 5953
Factors of 5961
List of positive integer factors of 5961 that divides 5961 without a remainder.
1, 3, 1987, 5961
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5953 and 5961, than apply into the LCM equation.
GCF(5953,5961) = 1
LCM(5953,5961) = ( 5953 × 5961) / 1
LCM(5953,5961) = 35485833 / 1
LCM(5953,5961) = 35485833
(i) The LCM of 5961 and 5953 is associative
LCM of 5953 and 5961 = LCM of 5961 and 5953
1. What is the LCM of 5953 and 5961?
Answer: LCM of 5953 and 5961 is 35485833.
2. What are the Factors of 5953?
Answer: Factors of 5953 are 1, 5953. There are 2 integers that are factors of 5953. The greatest factor of 5953 is 5953.
3. What are the Factors of 5961?
Answer: Factors of 5961 are 1, 3, 1987, 5961. There are 4 integers that are factors of 5961. The greatest factor of 5961 is 5961.
4. How to Find the LCM of 5953 and 5961?
Answer:
Least Common Multiple of 5953 and 5961 = 35485833
Step 1: Find the prime factorization of 5953
5953 = 5953
Step 2: Find the prime factorization of 5961
5961 = 3 x 1987
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35485833 = 3 x 1987 x 5953
Step 4: Therefore, the least common multiple of 5953 and 5961 is 35485833.