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 4956 the smallest integer that is 8182356 that is divisible by both numbers.
Least Common Multiple (LCM) of 4953 and 4956 is 8182356.
LCM(4953,4956) = 8182356
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 4956. First we will calculate the prime factors of 4953 and 4956.
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 4956
2 | 4956 |
2 | 2478 |
3 | 1239 |
7 | 413 |
59 | 59 |
1 |
Prime factors of 4956 are 2, 3, 7,59. Prime factorization of 4956 in exponential form is:
4956 = 22×31×71×591
Now multiplying the highest exponent prime factors to calculate the LCM of 4953 and 4956.
LCM(4953,4956) = 22×31×71×131×591×1271
LCM(4953,4956) = 8182356
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 4956
List of positive integer factors of 4956 that divides 4956 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478, 4956
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4953 and 4956, than apply into the LCM equation.
GCF(4953,4956) = 3
LCM(4953,4956) = ( 4953 × 4956) / 3
LCM(4953,4956) = 24547068 / 3
LCM(4953,4956) = 8182356
(i) The LCM of 4956 and 4953 is associative
LCM of 4953 and 4956 = LCM of 4956 and 4953
1. What is the LCM of 4953 and 4956?
Answer: LCM of 4953 and 4956 is 8182356.
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 4956?
Answer: Factors of 4956 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478, 4956. There are 24 integers that are factors of 4956. The greatest factor of 4956 is 4956.
4. How to Find the LCM of 4953 and 4956?
Answer:
Least Common Multiple of 4953 and 4956 = 8182356
Step 1: Find the prime factorization of 4953
4953 = 3 x 13 x 127
Step 2: Find the prime factorization of 4956
4956 = 2 x 2 x 3 x 7 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8182356 = 2 x 2 x 3 x 7 x 13 x 59 x 127
Step 4: Therefore, the least common multiple of 4953 and 4956 is 8182356.