Least Common Multiple of 4653 and 4660

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 4660 the smallest integer that is 21682980 that is divisible by both numbers.

Least Common Multiple (LCM) of 4653 and 4660 is 21682980.

LCM(4653,4660) = 21682980

LCM of 4653 and 4660

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

LCM of:
and

Least Common Multiple of 4653 and 4660

LCM of 4653 and 4660 is 21682980

Least common multiple can be found by multiplying the highest exponent prime factors of 4653 and 4660. First we will calculate the prime factors of 4653 and 4660.

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 4660


2 4660
2 2330
5 1165
233 233
1

Prime factors of 4660 are 2, 5,233. Prime factorization of 4660 in exponential form is:

4660 = 22×51×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 4653 and 4660.

LCM(4653,4660) = 22×32×51×111×471×2331
LCM(4653,4660) = 21682980

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 4660

List of positive integer factors of 4660 that divides 4660 without a remainder.

1, 2, 4, 5, 10, 20, 233, 466, 932, 1165, 2330, 4660

Least Common Multiple of 4653 and 4660 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 4660, than apply into the LCM equation.

GCF(4653,4660) = 1
LCM(4653,4660) = ( 4653 × 4660) / 1
LCM(4653,4660) = 21682980 / 1
LCM(4653,4660) = 21682980

Properties of LCM 4653 and 4660

(i) The LCM of 4660 and 4653 is associative

LCM of 4653 and 4660 = LCM of 4660 and 4653

Related Least Common Multiples of 4653

Related Least Common Multiples of 4660

Frequently Asked Questions on LCM of 4653 and 4660

1. What is the LCM of 4653 and 4660?

Answer: LCM of 4653 and 4660 is 21682980.

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 4660?

Answer: Factors of 4660 are 1, 2, 4, 5, 10, 20, 233, 466, 932, 1165, 2330, 4660. There are 12 integers that are factors of 4660. The greatest factor of 4660 is 4660.

4. How to Find the LCM of 4653 and 4660?

Answer:

Least Common Multiple of 4653 and 4660 = 21682980

Step 1: Find the prime factorization of 4653

4653 = 3 x 3 x 11 x 47

Step 2: Find the prime factorization of 4660

4660 = 2 x 2 x 5 x 233

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

LCM = 21682980 = 2 x 2 x 3 x 3 x 5 x 11 x 47 x 233

Step 4: Therefore, the least common multiple of 4653 and 4660 is 21682980.