Least Common Multiple of 4672 and 4675

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 4675 the smallest integer that is 21841600 that is divisible by both numbers.

Least Common Multiple (LCM) of 4672 and 4675 is 21841600.

LCM(4672,4675) = 21841600

LCM of 4672 and 4675

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

LCM of:
and

Least Common Multiple of 4672 and 4675

LCM of 4672 and 4675 is 21841600

Least common multiple can be found by multiplying the highest exponent prime factors of 4672 and 4675. First we will calculate the prime factors of 4672 and 4675.

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 4675


5 4675
5 935
11 187
17 17
1

Prime factors of 4675 are 5, 11,17. Prime factorization of 4675 in exponential form is:

4675 = 52×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 4672 and 4675.

LCM(4672,4675) = 26×52×111×171×731
LCM(4672,4675) = 21841600

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 4675

List of positive integer factors of 4675 that divides 4675 without a remainder.

1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, 4675

Least Common Multiple of 4672 and 4675 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 4675, than apply into the LCM equation.

GCF(4672,4675) = 1
LCM(4672,4675) = ( 4672 × 4675) / 1
LCM(4672,4675) = 21841600 / 1
LCM(4672,4675) = 21841600

Properties of LCM 4672 and 4675

(i) The LCM of 4675 and 4672 is associative

LCM of 4672 and 4675 = LCM of 4675 and 4672

Related Least Common Multiples of 4672

Related Least Common Multiples of 4675

Frequently Asked Questions on LCM of 4672 and 4675

1. What is the LCM of 4672 and 4675?

Answer: LCM of 4672 and 4675 is 21841600.

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 4675?

Answer: Factors of 4675 are 1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, 4675. There are 12 integers that are factors of 4675. The greatest factor of 4675 is 4675.

4. How to Find the LCM of 4672 and 4675?

Answer:

Least Common Multiple of 4672 and 4675 = 21841600

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 4675

4675 = 5 x 5 x 11 x 17

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

LCM = 21841600 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 11 x 17 x 73

Step 4: Therefore, the least common multiple of 4672 and 4675 is 21841600.