Least Common Multiple of 4673 and 4678

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 4678 the smallest integer that is 21860294 that is divisible by both numbers.

Least Common Multiple (LCM) of 4673 and 4678 is 21860294.

LCM(4673,4678) = 21860294

LCM of 4673 and 4678

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

LCM of:
and

Least Common Multiple of 4673 and 4678

LCM of 4673 and 4678 is 21860294

Least common multiple can be found by multiplying the highest exponent prime factors of 4673 and 4678. First we will calculate the prime factors of 4673 and 4678.

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 4678


2 4678
2339 2339
1

Prime factors of 4678 are 2,2339. Prime factorization of 4678 in exponential form is:

4678 = 21×23391

Now multiplying the highest exponent prime factors to calculate the LCM of 4673 and 4678.

LCM(4673,4678) = 21×23391×46731
LCM(4673,4678) = 21860294

Factors of 4673

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

1, 4673

Factors of 4678

List of positive integer factors of 4678 that divides 4678 without a remainder.

1, 2, 2339, 4678

Least Common Multiple of 4673 and 4678 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 4678, than apply into the LCM equation.

GCF(4673,4678) = 1
LCM(4673,4678) = ( 4673 × 4678) / 1
LCM(4673,4678) = 21860294 / 1
LCM(4673,4678) = 21860294

Properties of LCM 4673 and 4678

(i) The LCM of 4678 and 4673 is associative

LCM of 4673 and 4678 = LCM of 4678 and 4673

Related Least Common Multiples of 4673

Related Least Common Multiples of 4678

Frequently Asked Questions on LCM of 4673 and 4678

1. What is the LCM of 4673 and 4678?

Answer: LCM of 4673 and 4678 is 21860294.

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 4678?

Answer: Factors of 4678 are 1, 2, 2339, 4678. There are 4 integers that are factors of 4678. The greatest factor of 4678 is 4678.

4. How to Find the LCM of 4673 and 4678?

Answer:

Least Common Multiple of 4673 and 4678 = 21860294

Step 1: Find the prime factorization of 4673

4673 = 4673

Step 2: Find the prime factorization of 4678

4678 = 2 x 2339

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

LCM = 21860294 = 2 x 2339 x 4673

Step 4: Therefore, the least common multiple of 4673 and 4678 is 21860294.