Least Common Multiple of 4659 and 4665

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 4665 the smallest integer that is 7244745 that is divisible by both numbers.

Least Common Multiple (LCM) of 4659 and 4665 is 7244745.

LCM(4659,4665) = 7244745

LCM of 4659 and 4665

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

LCM of:
and

Least Common Multiple of 4659 and 4665

LCM of 4659 and 4665 is 7244745

Least common multiple can be found by multiplying the highest exponent prime factors of 4659 and 4665. First we will calculate the prime factors of 4659 and 4665.

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 4665


3 4665
5 1555
311 311
1

Prime factors of 4665 are 3, 5,311. Prime factorization of 4665 in exponential form is:

4665 = 31×51×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 4659 and 4665.

LCM(4659,4665) = 31×51×3111×15531
LCM(4659,4665) = 7244745

Factors of 4659

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

1, 3, 1553, 4659

Factors of 4665

List of positive integer factors of 4665 that divides 4665 without a remainder.

1, 3, 5, 15, 311, 933, 1555, 4665

Least Common Multiple of 4659 and 4665 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 4665, than apply into the LCM equation.

GCF(4659,4665) = 3
LCM(4659,4665) = ( 4659 × 4665) / 3
LCM(4659,4665) = 21734235 / 3
LCM(4659,4665) = 7244745

Properties of LCM 4659 and 4665

(i) The LCM of 4665 and 4659 is associative

LCM of 4659 and 4665 = LCM of 4665 and 4659

Related Least Common Multiples of 4659

Related Least Common Multiples of 4665

Frequently Asked Questions on LCM of 4659 and 4665

1. What is the LCM of 4659 and 4665?

Answer: LCM of 4659 and 4665 is 7244745.

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 4665?

Answer: Factors of 4665 are 1, 3, 5, 15, 311, 933, 1555, 4665. There are 8 integers that are factors of 4665. The greatest factor of 4665 is 4665.

4. How to Find the LCM of 4659 and 4665?

Answer:

Least Common Multiple of 4659 and 4665 = 7244745

Step 1: Find the prime factorization of 4659

4659 = 3 x 1553

Step 2: Find the prime factorization of 4665

4665 = 3 x 5 x 311

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

LCM = 7244745 = 3 x 5 x 311 x 1553

Step 4: Therefore, the least common multiple of 4659 and 4665 is 7244745.