Least Common Multiple of 4666 and 4668

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 4668 the smallest integer that is 10890444 that is divisible by both numbers.

Least Common Multiple (LCM) of 4666 and 4668 is 10890444.

LCM(4666,4668) = 10890444

LCM of 4666 and 4668

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

LCM of:
and

Least Common Multiple of 4666 and 4668

LCM of 4666 and 4668 is 10890444

Least common multiple can be found by multiplying the highest exponent prime factors of 4666 and 4668. First we will calculate the prime factors of 4666 and 4668.

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 4668


2 4668
2 2334
3 1167
389 389
1

Prime factors of 4668 are 2, 3,389. Prime factorization of 4668 in exponential form is:

4668 = 22×31×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 4666 and 4668.

LCM(4666,4668) = 22×31×3891×23331
LCM(4666,4668) = 10890444

Factors of 4666

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

1, 2, 2333, 4666

Factors of 4668

List of positive integer factors of 4668 that divides 4668 without a remainder.

1, 2, 3, 4, 6, 12, 389, 778, 1167, 1556, 2334, 4668

Least Common Multiple of 4666 and 4668 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 4668, than apply into the LCM equation.

GCF(4666,4668) = 2
LCM(4666,4668) = ( 4666 × 4668) / 2
LCM(4666,4668) = 21780888 / 2
LCM(4666,4668) = 10890444

Properties of LCM 4666 and 4668

(i) The LCM of 4668 and 4666 is associative

LCM of 4666 and 4668 = LCM of 4668 and 4666

Related Least Common Multiples of 4666

Related Least Common Multiples of 4668

Frequently Asked Questions on LCM of 4666 and 4668

1. What is the LCM of 4666 and 4668?

Answer: LCM of 4666 and 4668 is 10890444.

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 4668?

Answer: Factors of 4668 are 1, 2, 3, 4, 6, 12, 389, 778, 1167, 1556, 2334, 4668. There are 12 integers that are factors of 4668. The greatest factor of 4668 is 4668.

4. How to Find the LCM of 4666 and 4668?

Answer:

Least Common Multiple of 4666 and 4668 = 10890444

Step 1: Find the prime factorization of 4666

4666 = 2 x 2333

Step 2: Find the prime factorization of 4668

4668 = 2 x 2 x 3 x 389

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

LCM = 10890444 = 2 x 2 x 3 x 389 x 2333

Step 4: Therefore, the least common multiple of 4666 and 4668 is 10890444.