Least Common Multiple of 4673 and 4677

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 4677 the smallest integer that is 21855621 that is divisible by both numbers.

Least Common Multiple (LCM) of 4673 and 4677 is 21855621.

LCM(4673,4677) = 21855621

LCM of 4673 and 4677

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

LCM of:
and

Least Common Multiple of 4673 and 4677

LCM of 4673 and 4677 is 21855621

Least common multiple can be found by multiplying the highest exponent prime factors of 4673 and 4677. First we will calculate the prime factors of 4673 and 4677.

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 4677


3 4677
1559 1559
1

Prime factors of 4677 are 3,1559. Prime factorization of 4677 in exponential form is:

4677 = 31×15591

Now multiplying the highest exponent prime factors to calculate the LCM of 4673 and 4677.

LCM(4673,4677) = 31×15591×46731
LCM(4673,4677) = 21855621

Factors of 4673

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

1, 4673

Factors of 4677

List of positive integer factors of 4677 that divides 4677 without a remainder.

1, 3, 1559, 4677

Least Common Multiple of 4673 and 4677 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 4677, than apply into the LCM equation.

GCF(4673,4677) = 1
LCM(4673,4677) = ( 4673 × 4677) / 1
LCM(4673,4677) = 21855621 / 1
LCM(4673,4677) = 21855621

Properties of LCM 4673 and 4677

(i) The LCM of 4677 and 4673 is associative

LCM of 4673 and 4677 = LCM of 4677 and 4673

Related Least Common Multiples of 4673

Related Least Common Multiples of 4677

Frequently Asked Questions on LCM of 4673 and 4677

1. What is the LCM of 4673 and 4677?

Answer: LCM of 4673 and 4677 is 21855621.

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 4677?

Answer: Factors of 4677 are 1, 3, 1559, 4677. There are 4 integers that are factors of 4677. The greatest factor of 4677 is 4677.

4. How to Find the LCM of 4673 and 4677?

Answer:

Least Common Multiple of 4673 and 4677 = 21855621

Step 1: Find the prime factorization of 4673

4673 = 4673

Step 2: Find the prime factorization of 4677

4677 = 3 x 1559

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

LCM = 21855621 = 3 x 1559 x 4673

Step 4: Therefore, the least common multiple of 4673 and 4677 is 21855621.