Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5955 and 5963 the smallest integer that is 35509665 that is divisible by both numbers.
Least Common Multiple (LCM) of 5955 and 5963 is 35509665.
LCM(5955,5963) = 35509665
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 5955 and 5963. First we will calculate the prime factors of 5955 and 5963.
Prime Factorization of 5955
3 | 5955 |
5 | 1985 |
397 | 397 |
1 |
Prime factors of 5955 are 3, 5,397. Prime factorization of 5955 in exponential form is:
5955 = 31×51×3971
Prime Factorization of 5963
67 | 5963 |
89 | 89 |
1 |
Prime factors of 5963 are 67,89. Prime factorization of 5963 in exponential form is:
5963 = 671×891
Now multiplying the highest exponent prime factors to calculate the LCM of 5955 and 5963.
LCM(5955,5963) = 31×51×671×891×3971
LCM(5955,5963) = 35509665
Factors of 5955
List of positive integer factors of 5955 that divides 5955 without a remainder.
1, 3, 5, 15, 397, 1191, 1985, 5955
Factors of 5963
List of positive integer factors of 5963 that divides 5963 without a remainder.
1, 67, 89, 5963
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5955 and 5963, than apply into the LCM equation.
GCF(5955,5963) = 1
LCM(5955,5963) = ( 5955 × 5963) / 1
LCM(5955,5963) = 35509665 / 1
LCM(5955,5963) = 35509665
(i) The LCM of 5963 and 5955 is associative
LCM of 5955 and 5963 = LCM of 5963 and 5955
1. What is the LCM of 5955 and 5963?
Answer: LCM of 5955 and 5963 is 35509665.
2. What are the Factors of 5955?
Answer: Factors of 5955 are 1, 3, 5, 15, 397, 1191, 1985, 5955. There are 8 integers that are factors of 5955. The greatest factor of 5955 is 5955.
3. What are the Factors of 5963?
Answer: Factors of 5963 are 1, 67, 89, 5963. There are 4 integers that are factors of 5963. The greatest factor of 5963 is 5963.
4. How to Find the LCM of 5955 and 5963?
Answer:
Least Common Multiple of 5955 and 5963 = 35509665
Step 1: Find the prime factorization of 5955
5955 = 3 x 5 x 397
Step 2: Find the prime factorization of 5963
5963 = 67 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35509665 = 3 x 5 x 67 x 89 x 397
Step 4: Therefore, the least common multiple of 5955 and 5963 is 35509665.