Least Common Multiple of 4666 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 4666 and 4671 the smallest integer that is 21794886 that is divisible by both numbers.

Least Common Multiple (LCM) of 4666 and 4671 is 21794886.

LCM(4666,4671) = 21794886

LCM of 4666 and 4671

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

LCM of:
and

Least Common Multiple of 4666 and 4671

LCM of 4666 and 4671 is 21794886

Least common multiple can be found by multiplying the highest exponent prime factors of 4666 and 4671. First we will calculate the prime factors of 4666 and 4671.

Prime Factorization of 4666


2 4666
2333 2333
1

Prime factors of 4666 are 2,2333. Prime factorization of 4666 in exponential form is:

4666 = 21×23331

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 4666 and 4671.

LCM(4666,4671) = 21×33×1731×23331
LCM(4666,4671) = 21794886

Factors of 4666

List of positive integer factors of 4666 that divides 4666 without a remainder.

1, 2, 2333, 4666

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 4666 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 4666 and 4671, than apply into the LCM equation.

GCF(4666,4671) = 1
LCM(4666,4671) = ( 4666 × 4671) / 1
LCM(4666,4671) = 21794886 / 1
LCM(4666,4671) = 21794886

Properties of LCM 4666 and 4671

(i) The LCM of 4671 and 4666 is associative

LCM of 4666 and 4671 = LCM of 4671 and 4666

Related Least Common Multiples of 4666

Related Least Common Multiples of 4671

Frequently Asked Questions on LCM of 4666 and 4671

1. What is the LCM of 4666 and 4671?

Answer: LCM of 4666 and 4671 is 21794886.

2. What are the Factors of 4666?

Answer: Factors of 4666 are 1, 2, 2333, 4666. There are 4 integers that are factors of 4666. The greatest factor of 4666 is 4666.

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 4666 and 4671?

Answer:

Least Common Multiple of 4666 and 4671 = 21794886

Step 1: Find the prime factorization of 4666

4666 = 2 x 2333

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 = 21794886 = 2 x 3 x 3 x 3 x 173 x 2333

Step 4: Therefore, the least common multiple of 4666 and 4671 is 21794886.