Least Common Multiple of 4671 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 4671 and 4675 the smallest integer that is 21836925 that is divisible by both numbers.

Least Common Multiple (LCM) of 4671 and 4675 is 21836925.

LCM(4671,4675) = 21836925

LCM of 4671 and 4675

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

LCM of:
and

Least Common Multiple of 4671 and 4675

LCM of 4671 and 4675 is 21836925

Least common multiple can be found by multiplying the highest exponent prime factors of 4671 and 4675. First we will calculate the prime factors of 4671 and 4675.

Prime Factorization of 4671


3 4671
3 1557
3 519
173 173
1

Prime factors of 4671 are 3,173. Prime factorization of 4671 in exponential form is:

4671 = 33×1731

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 4671 and 4675.

LCM(4671,4675) = 33×52×111×171×1731
LCM(4671,4675) = 21836925

Factors of 4671

List of positive integer factors of 4671 that divides 4671 without a remainder.

1, 3, 9, 27, 173, 519, 1557, 4671

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 4671 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 4671 and 4675, than apply into the LCM equation.

GCF(4671,4675) = 1
LCM(4671,4675) = ( 4671 × 4675) / 1
LCM(4671,4675) = 21836925 / 1
LCM(4671,4675) = 21836925

Properties of LCM 4671 and 4675

(i) The LCM of 4675 and 4671 is associative

LCM of 4671 and 4675 = LCM of 4675 and 4671

Related Least Common Multiples of 4671

Related Least Common Multiples of 4675

Frequently Asked Questions on LCM of 4671 and 4675

1. What is the LCM of 4671 and 4675?

Answer: LCM of 4671 and 4675 is 21836925.

2. What are the Factors of 4671?

Answer: Factors of 4671 are 1, 3, 9, 27, 173, 519, 1557, 4671. There are 8 integers that are factors of 4671. The greatest factor of 4671 is 4671.

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 4671 and 4675?

Answer:

Least Common Multiple of 4671 and 4675 = 21836925

Step 1: Find the prime factorization of 4671

4671 = 3 x 3 x 3 x 173

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 = 21836925 = 3 x 3 x 3 x 5 x 5 x 11 x 17 x 173

Step 4: Therefore, the least common multiple of 4671 and 4675 is 21836925.