Least Common Multiple of 4673 and 4681

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 4681 the smallest integer that is 21874313 that is divisible by both numbers.

Least Common Multiple (LCM) of 4673 and 4681 is 21874313.

LCM(4673,4681) = 21874313

LCM of 4673 and 4681

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

LCM of:
and

Least Common Multiple of 4673 and 4681

LCM of 4673 and 4681 is 21874313

Least common multiple can be found by multiplying the highest exponent prime factors of 4673 and 4681. First we will calculate the prime factors of 4673 and 4681.

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 4681


31 4681
151 151
1

Prime factors of 4681 are 31,151. Prime factorization of 4681 in exponential form is:

4681 = 311×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 4673 and 4681.

LCM(4673,4681) = 311×1511×46731
LCM(4673,4681) = 21874313

Factors of 4673

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

1, 4673

Factors of 4681

List of positive integer factors of 4681 that divides 4681 without a remainder.

1, 31, 151, 4681

Least Common Multiple of 4673 and 4681 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 4681, than apply into the LCM equation.

GCF(4673,4681) = 1
LCM(4673,4681) = ( 4673 × 4681) / 1
LCM(4673,4681) = 21874313 / 1
LCM(4673,4681) = 21874313

Properties of LCM 4673 and 4681

(i) The LCM of 4681 and 4673 is associative

LCM of 4673 and 4681 = LCM of 4681 and 4673

Related Least Common Multiples of 4673

Related Least Common Multiples of 4681

Frequently Asked Questions on LCM of 4673 and 4681

1. What is the LCM of 4673 and 4681?

Answer: LCM of 4673 and 4681 is 21874313.

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 4681?

Answer: Factors of 4681 are 1, 31, 151, 4681. There are 4 integers that are factors of 4681. The greatest factor of 4681 is 4681.

4. How to Find the LCM of 4673 and 4681?

Answer:

Least Common Multiple of 4673 and 4681 = 21874313

Step 1: Find the prime factorization of 4673

4673 = 4673

Step 2: Find the prime factorization of 4681

4681 = 31 x 151

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

LCM = 21874313 = 31 x 151 x 4673

Step 4: Therefore, the least common multiple of 4673 and 4681 is 21874313.