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 4954 the smallest integer that is 24537162 that is divisible by both numbers.
Least Common Multiple (LCM) of 4953 and 4954 is 24537162.
LCM(4953,4954) = 24537162
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 4953 and 4954. First we will calculate the prime factors of 4953 and 4954.
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 4954
2 | 4954 |
2477 | 2477 |
1 |
Prime factors of 4954 are 2,2477. Prime factorization of 4954 in exponential form is:
4954 = 21×24771
Now multiplying the highest exponent prime factors to calculate the LCM of 4953 and 4954.
LCM(4953,4954) = 21×31×131×1271×24771
LCM(4953,4954) = 24537162
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 4954
List of positive integer factors of 4954 that divides 4954 without a remainder.
1, 2, 2477, 4954
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4953 and 4954, than apply into the LCM equation.
GCF(4953,4954) = 1
LCM(4953,4954) = ( 4953 × 4954) / 1
LCM(4953,4954) = 24537162 / 1
LCM(4953,4954) = 24537162
(i) The LCM of 4954 and 4953 is associative
LCM of 4953 and 4954 = LCM of 4954 and 4953
1. What is the LCM of 4953 and 4954?
Answer: LCM of 4953 and 4954 is 24537162.
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 4954?
Answer: Factors of 4954 are 1, 2, 2477, 4954. There are 4 integers that are factors of 4954. The greatest factor of 4954 is 4954.
4. How to Find the LCM of 4953 and 4954?
Answer:
Least Common Multiple of 4953 and 4954 = 24537162
Step 1: Find the prime factorization of 4953
4953 = 3 x 13 x 127
Step 2: Find the prime factorization of 4954
4954 = 2 x 2477
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24537162 = 2 x 3 x 13 x 127 x 2477
Step 4: Therefore, the least common multiple of 4953 and 4954 is 24537162.