Least Common Multiple of 4653 and 4659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4653 and 4659 the smallest integer that is 7226109 that is divisible by both numbers.

Least Common Multiple (LCM) of 4653 and 4659 is 7226109.

LCM(4653,4659) = 7226109

LCM of 4653 and 4659

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

LCM of:
and

Least Common Multiple of 4653 and 4659

LCM of 4653 and 4659 is 7226109

Least common multiple can be found by multiplying the highest exponent prime factors of 4653 and 4659. First we will calculate the prime factors of 4653 and 4659.

Prime Factorization of 4653


3 4653
3 1551
11 517
47 47
1

Prime factors of 4653 are 3, 11,47. Prime factorization of 4653 in exponential form is:

4653 = 32×111×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4653 and 4659.

LCM(4653,4659) = 32×111×471×15531
LCM(4653,4659) = 7226109

Factors of 4653

List of positive integer factors of 4653 that divides 4653 without a remainder.

1, 3, 9, 11, 33, 47, 99, 141, 423, 517, 1551, 4653

Factors of 4659

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

1, 3, 1553, 4659

Least Common Multiple of 4653 and 4659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4653 and 4659, than apply into the LCM equation.

GCF(4653,4659) = 3
LCM(4653,4659) = ( 4653 × 4659) / 3
LCM(4653,4659) = 21678327 / 3
LCM(4653,4659) = 7226109

Properties of LCM 4653 and 4659

(i) The LCM of 4659 and 4653 is associative

LCM of 4653 and 4659 = LCM of 4659 and 4653

Related Least Common Multiples of 4653

Related Least Common Multiples of 4659

Frequently Asked Questions on LCM of 4653 and 4659

1. What is the LCM of 4653 and 4659?

Answer: LCM of 4653 and 4659 is 7226109.

2. What are the Factors of 4653?

Answer: Factors of 4653 are 1, 3, 9, 11, 33, 47, 99, 141, 423, 517, 1551, 4653. There are 12 integers that are factors of 4653. The greatest factor of 4653 is 4653.

3. 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.

4. How to Find the LCM of 4653 and 4659?

Answer:

Least Common Multiple of 4653 and 4659 = 7226109

Step 1: Find the prime factorization of 4653

4653 = 3 x 3 x 11 x 47

Step 2: Find the prime factorization of 4659

4659 = 3 x 1553

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

LCM = 7226109 = 3 x 3 x 11 x 47 x 1553

Step 4: Therefore, the least common multiple of 4653 and 4659 is 7226109.