Least Common Multiple of 4673 and 4680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4673 and 4680 the smallest integer that is 21869640 that is divisible by both numbers.

Least Common Multiple (LCM) of 4673 and 4680 is 21869640.

LCM(4673,4680) = 21869640

LCM of 4673 and 4680

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

LCM of:
and

Least Common Multiple of 4673 and 4680

LCM of 4673 and 4680 is 21869640

Least common multiple can be found by multiplying the highest exponent prime factors of 4673 and 4680. First we will calculate the prime factors of 4673 and 4680.

Prime Factorization of 4673


4673 4673
1

Prime factors of 4673 are 4673. Prime factorization of 4673 in exponential form is:

4673 = 46731

Prime Factorization of 4680


2 4680
2 2340
2 1170
3 585
3 195
5 65
13 13
1

Prime factors of 4680 are 2, 3, 5,13. Prime factorization of 4680 in exponential form is:

4680 = 23×32×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 4673 and 4680.

LCM(4673,4680) = 23×32×51×131×46731
LCM(4673,4680) = 21869640

Factors of 4673

List of positive integer factors of 4673 that divides 4673 without a remainder.

1, 4673

Factors of 4680

List of positive integer factors of 4680 that divides 4680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 180, 195, 234, 260, 312, 360, 390, 468, 520, 585, 780, 936, 1170, 1560, 2340, 4680

Least Common Multiple of 4673 and 4680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4673 and 4680, than apply into the LCM equation.

GCF(4673,4680) = 1
LCM(4673,4680) = ( 4673 × 4680) / 1
LCM(4673,4680) = 21869640 / 1
LCM(4673,4680) = 21869640

Properties of LCM 4673 and 4680

(i) The LCM of 4680 and 4673 is associative

LCM of 4673 and 4680 = LCM of 4680 and 4673

Related Least Common Multiples of 4673

Related Least Common Multiples of 4680

Frequently Asked Questions on LCM of 4673 and 4680

1. What is the LCM of 4673 and 4680?

Answer: LCM of 4673 and 4680 is 21869640.

2. What are the Factors of 4673?

Answer: Factors of 4673 are 1, 4673. There are 2 integers that are factors of 4673. The greatest factor of 4673 is 4673.

3. What are the Factors of 4680?

Answer: Factors of 4680 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 180, 195, 234, 260, 312, 360, 390, 468, 520, 585, 780, 936, 1170, 1560, 2340, 4680. There are 48 integers that are factors of 4680. The greatest factor of 4680 is 4680.

4. How to Find the LCM of 4673 and 4680?

Answer:

Least Common Multiple of 4673 and 4680 = 21869640

Step 1: Find the prime factorization of 4673

4673 = 4673

Step 2: Find the prime factorization of 4680

4680 = 2 x 2 x 2 x 3 x 3 x 5 x 13

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

LCM = 21869640 = 2 x 2 x 2 x 3 x 3 x 5 x 13 x 4673

Step 4: Therefore, the least common multiple of 4673 and 4680 is 21869640.