Least Common Multiple of 4653 and 4654

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 4654 the smallest integer that is 21655062 that is divisible by both numbers.

Least Common Multiple (LCM) of 4653 and 4654 is 21655062.

LCM(4653,4654) = 21655062

LCM of 4653 and 4654

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

LCM of:
and

Least Common Multiple of 4653 and 4654

LCM of 4653 and 4654 is 21655062

Least common multiple can be found by multiplying the highest exponent prime factors of 4653 and 4654. First we will calculate the prime factors of 4653 and 4654.

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 4654


2 4654
13 2327
179 179
1

Prime factors of 4654 are 2, 13,179. Prime factorization of 4654 in exponential form is:

4654 = 21×131×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 4653 and 4654.

LCM(4653,4654) = 21×32×111×131×471×1791
LCM(4653,4654) = 21655062

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 4654

List of positive integer factors of 4654 that divides 4654 without a remainder.

1, 2, 13, 26, 179, 358, 2327, 4654

Least Common Multiple of 4653 and 4654 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 4654, than apply into the LCM equation.

GCF(4653,4654) = 1
LCM(4653,4654) = ( 4653 × 4654) / 1
LCM(4653,4654) = 21655062 / 1
LCM(4653,4654) = 21655062

Properties of LCM 4653 and 4654

(i) The LCM of 4654 and 4653 is associative

LCM of 4653 and 4654 = LCM of 4654 and 4653

Related Least Common Multiples of 4653

Related Least Common Multiples of 4654

Frequently Asked Questions on LCM of 4653 and 4654

1. What is the LCM of 4653 and 4654?

Answer: LCM of 4653 and 4654 is 21655062.

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 4654?

Answer: Factors of 4654 are 1, 2, 13, 26, 179, 358, 2327, 4654. There are 8 integers that are factors of 4654. The greatest factor of 4654 is 4654.

4. How to Find the LCM of 4653 and 4654?

Answer:

Least Common Multiple of 4653 and 4654 = 21655062

Step 1: Find the prime factorization of 4653

4653 = 3 x 3 x 11 x 47

Step 2: Find the prime factorization of 4654

4654 = 2 x 13 x 179

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

LCM = 21655062 = 2 x 3 x 3 x 11 x 13 x 47 x 179

Step 4: Therefore, the least common multiple of 4653 and 4654 is 21655062.