Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4657 and 4664 the smallest integer that is 21720248 that is divisible by both numbers.
Least Common Multiple (LCM) of 4657 and 4664 is 21720248.
LCM(4657,4664) = 21720248
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 4657 and 4664. First we will calculate the prime factors of 4657 and 4664.
Prime Factorization of 4657
4657 | 4657 |
1 |
Prime factors of 4657 are 4657. Prime factorization of 4657 in exponential form is:
4657 = 46571
Prime Factorization of 4664
2 | 4664 |
2 | 2332 |
2 | 1166 |
11 | 583 |
53 | 53 |
1 |
Prime factors of 4664 are 2, 11,53. Prime factorization of 4664 in exponential form is:
4664 = 23×111×531
Now multiplying the highest exponent prime factors to calculate the LCM of 4657 and 4664.
LCM(4657,4664) = 23×111×531×46571
LCM(4657,4664) = 21720248
Factors of 4657
List of positive integer factors of 4657 that divides 4657 without a remainder.
1, 4657
Factors of 4664
List of positive integer factors of 4664 that divides 4664 without a remainder.
1, 2, 4, 8, 11, 22, 44, 53, 88, 106, 212, 424, 583, 1166, 2332, 4664
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4657 and 4664, than apply into the LCM equation.
GCF(4657,4664) = 1
LCM(4657,4664) = ( 4657 × 4664) / 1
LCM(4657,4664) = 21720248 / 1
LCM(4657,4664) = 21720248
(i) The LCM of 4664 and 4657 is associative
LCM of 4657 and 4664 = LCM of 4664 and 4657
1. What is the LCM of 4657 and 4664?
Answer: LCM of 4657 and 4664 is 21720248.
2. What are the Factors of 4657?
Answer: Factors of 4657 are 1, 4657. There are 2 integers that are factors of 4657. The greatest factor of 4657 is 4657.
3. What are the Factors of 4664?
Answer: Factors of 4664 are 1, 2, 4, 8, 11, 22, 44, 53, 88, 106, 212, 424, 583, 1166, 2332, 4664. There are 16 integers that are factors of 4664. The greatest factor of 4664 is 4664.
4. How to Find the LCM of 4657 and 4664?
Answer:
Least Common Multiple of 4657 and 4664 = 21720248
Step 1: Find the prime factorization of 4657
4657 = 4657
Step 2: Find the prime factorization of 4664
4664 = 2 x 2 x 2 x 11 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21720248 = 2 x 2 x 2 x 11 x 53 x 4657
Step 4: Therefore, the least common multiple of 4657 and 4664 is 21720248.