Least Common Multiple of 4953 and 4955
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4953 and 4955 the smallest integer that is 24542115 that is divisible by both numbers.
Least Common Multiple (LCM) of 4953 and 4955 is 24542115.
LCM(4953,4955) = 24542115
LCM of 4953 and 4955
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4953 and 4955 by Prime method
- Least Common Multiple of 4953 and 4955 with GCF Formula
LCM of 4953 and 4955 is 24542115
Least common multiple can be found by multiplying the highest exponent prime factors of 4953 and 4955. First we will calculate the prime factors of 4953 and 4955.
Prime Factorization of 4953
| 3 | 4953 |
| 13 | 1651 |
| 127 | 127 |
| 1 |
Prime factors of 4953 are 3, 13,127. Prime factorization of 4953 in exponential form is:
4953 = 31×131×1271
Prime Factorization of 4955
| 5 | 4955 |
| 991 | 991 |
| 1 |
Prime factors of 4955 are 5,991. Prime factorization of 4955 in exponential form is:
4955 = 51×9911
Now multiplying the highest exponent prime factors to calculate the LCM of 4953 and 4955.
LCM(4953,4955) = 31×51×131×1271×9911
LCM(4953,4955) = 24542115
Factors of 4953
List of positive integer factors of 4953 that divides 4953 without a remainder.
1, 3, 13, 39, 127, 381, 1651, 4953
Factors of 4955
List of positive integer factors of 4955 that divides 4955 without a remainder.
1, 5, 991, 4955
Least Common Multiple of 4953 and 4955 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4953 and 4955, than apply into the LCM equation.
GCF(4953,4955) = 1
LCM(4953,4955) = ( 4953 × 4955) / 1
LCM(4953,4955) = 24542115 / 1
LCM(4953,4955) = 24542115
Properties of LCM 4953 and 4955
(i) The LCM of 4955 and 4953 is associative
LCM of 4953 and 4955 = LCM of 4955 and 4953
Related Least Common Multiples of 4953
Related Least Common Multiples of 4955
Frequently Asked Questions on LCM of 4953 and 4955
1. What is the LCM of 4953 and 4955?
Answer: LCM of 4953 and 4955 is 24542115.
2. What are the Factors of 4953?
Answer: Factors of 4953 are 1, 3, 13, 39, 127, 381, 1651, 4953. There are 8 integers that are factors of 4953. The greatest factor of 4953 is 4953.
3. What are the Factors of 4955?
Answer: Factors of 4955 are 1, 5, 991, 4955. There are 4 integers that are factors of 4955. The greatest factor of 4955 is 4955.
4. How to Find the LCM of 4953 and 4955?
Answer:
Least Common Multiple of 4953 and 4955 = 24542115
Step 1: Find the prime factorization of 4953
4953 = 3 x 13 x 127
Step 2: Find the prime factorization of 4955
4955 = 5 x 991
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24542115 = 3 x 5 x 13 x 127 x 991
Step 4: Therefore, the least common multiple of 4953 and 4955 is 24542115.