Least Common Multiple of 4664 and 4671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4664 and 4671 the smallest integer that is 21785544 that is divisible by both numbers.

Least Common Multiple (LCM) of 4664 and 4671 is 21785544.

LCM(4664,4671) = 21785544

LCM of 4664 and 4671

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4664 and 4671

LCM of 4664 and 4671 is 21785544

Least common multiple can be found by multiplying the highest exponent prime factors of 4664 and 4671. First we will calculate the prime factors of 4664 and 4671.

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

Prime Factorization of 4671


3 4671
3 1557
3 519
173 173
1

Prime factors of 4671 are 3,173. Prime factorization of 4671 in exponential form is:

4671 = 33×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 4664 and 4671.

LCM(4664,4671) = 23×33×111×531×1731
LCM(4664,4671) = 21785544

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

Factors of 4671

List of positive integer factors of 4671 that divides 4671 without a remainder.

1, 3, 9, 27, 173, 519, 1557, 4671

Least Common Multiple of 4664 and 4671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4664 and 4671, than apply into the LCM equation.

GCF(4664,4671) = 1
LCM(4664,4671) = ( 4664 × 4671) / 1
LCM(4664,4671) = 21785544 / 1
LCM(4664,4671) = 21785544

Properties of LCM 4664 and 4671

(i) The LCM of 4671 and 4664 is associative

LCM of 4664 and 4671 = LCM of 4671 and 4664

Related Least Common Multiples of 4664

Related Least Common Multiples of 4671

Frequently Asked Questions on LCM of 4664 and 4671

1. What is the LCM of 4664 and 4671?

Answer: LCM of 4664 and 4671 is 21785544.

2. 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.

3. What are the Factors of 4671?

Answer: Factors of 4671 are 1, 3, 9, 27, 173, 519, 1557, 4671. There are 8 integers that are factors of 4671. The greatest factor of 4671 is 4671.

4. How to Find the LCM of 4664 and 4671?

Answer:

Least Common Multiple of 4664 and 4671 = 21785544

Step 1: Find the prime factorization of 4664

4664 = 2 x 2 x 2 x 11 x 53

Step 2: Find the prime factorization of 4671

4671 = 3 x 3 x 3 x 173

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 21785544 = 2 x 2 x 2 x 3 x 3 x 3 x 11 x 53 x 173

Step 4: Therefore, the least common multiple of 4664 and 4671 is 21785544.