Least Common Multiple of 4672 and 4673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4672 and 4673 the smallest integer that is 21832256 that is divisible by both numbers.

Least Common Multiple (LCM) of 4672 and 4673 is 21832256.

LCM(4672,4673) = 21832256

LCM of 4672 and 4673

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

LCM of:
and

Least Common Multiple of 4672 and 4673

LCM of 4672 and 4673 is 21832256

Least common multiple can be found by multiplying the highest exponent prime factors of 4672 and 4673. First we will calculate the prime factors of 4672 and 4673.

Prime Factorization of 4672


2 4672
2 2336
2 1168
2 584
2 292
2 146
73 73
1

Prime factors of 4672 are 2,73. Prime factorization of 4672 in exponential form is:

4672 = 26×731

Prime Factorization of 4673


4673 4673
1

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

4673 = 46731

Now multiplying the highest exponent prime factors to calculate the LCM of 4672 and 4673.

LCM(4672,4673) = 26×731×46731
LCM(4672,4673) = 21832256

Factors of 4672

List of positive integer factors of 4672 that divides 4672 without a remainder.

1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672

Factors of 4673

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

1, 4673

Least Common Multiple of 4672 and 4673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4672 and 4673, than apply into the LCM equation.

GCF(4672,4673) = 1
LCM(4672,4673) = ( 4672 × 4673) / 1
LCM(4672,4673) = 21832256 / 1
LCM(4672,4673) = 21832256

Properties of LCM 4672 and 4673

(i) The LCM of 4673 and 4672 is associative

LCM of 4672 and 4673 = LCM of 4673 and 4672

Related Least Common Multiples of 4672

Related Least Common Multiples of 4673

Frequently Asked Questions on LCM of 4672 and 4673

1. What is the LCM of 4672 and 4673?

Answer: LCM of 4672 and 4673 is 21832256.

2. What are the Factors of 4672?

Answer: Factors of 4672 are 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672. There are 14 integers that are factors of 4672. The greatest factor of 4672 is 4672.

3. 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.

4. How to Find the LCM of 4672 and 4673?

Answer:

Least Common Multiple of 4672 and 4673 = 21832256

Step 1: Find the prime factorization of 4672

4672 = 2 x 2 x 2 x 2 x 2 x 2 x 73

Step 2: Find the prime factorization of 4673

4673 = 4673

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

LCM = 21832256 = 2 x 2 x 2 x 2 x 2 x 2 x 73 x 4673

Step 4: Therefore, the least common multiple of 4672 and 4673 is 21832256.