Least Common Multiple of 4659 and 4666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4659 and 4666 the smallest integer that is 21738894 that is divisible by both numbers.

Least Common Multiple (LCM) of 4659 and 4666 is 21738894.

LCM(4659,4666) = 21738894

LCM of 4659 and 4666

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

LCM of:
and

Least Common Multiple of 4659 and 4666

LCM of 4659 and 4666 is 21738894

Least common multiple can be found by multiplying the highest exponent prime factors of 4659 and 4666. First we will calculate the prime factors of 4659 and 4666.

Prime Factorization of 4659


3 4659
1553 1553
1

Prime factors of 4659 are 3,1553. Prime factorization of 4659 in exponential form is:

4659 = 31×15531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4659 and 4666.

LCM(4659,4666) = 21×31×15531×23331
LCM(4659,4666) = 21738894

Factors of 4659

List of positive integer factors of 4659 that divides 4659 without a remainder.

1, 3, 1553, 4659

Factors of 4666

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

1, 2, 2333, 4666

Least Common Multiple of 4659 and 4666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4659 and 4666, than apply into the LCM equation.

GCF(4659,4666) = 1
LCM(4659,4666) = ( 4659 × 4666) / 1
LCM(4659,4666) = 21738894 / 1
LCM(4659,4666) = 21738894

Properties of LCM 4659 and 4666

(i) The LCM of 4666 and 4659 is associative

LCM of 4659 and 4666 = LCM of 4666 and 4659

Related Least Common Multiples of 4659

Related Least Common Multiples of 4666

Frequently Asked Questions on LCM of 4659 and 4666

1. What is the LCM of 4659 and 4666?

Answer: LCM of 4659 and 4666 is 21738894.

2. What are the Factors of 4659?

Answer: Factors of 4659 are 1, 3, 1553, 4659. There are 4 integers that are factors of 4659. The greatest factor of 4659 is 4659.

3. 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.

4. How to Find the LCM of 4659 and 4666?

Answer:

Least Common Multiple of 4659 and 4666 = 21738894

Step 1: Find the prime factorization of 4659

4659 = 3 x 1553

Step 2: Find the prime factorization of 4666

4666 = 2 x 2333

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

LCM = 21738894 = 2 x 3 x 1553 x 2333

Step 4: Therefore, the least common multiple of 4659 and 4666 is 21738894.