Least Common Multiple of 4671 and 4676

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 4676 the smallest integer that is 21841596 that is divisible by both numbers.

Least Common Multiple (LCM) of 4671 and 4676 is 21841596.

LCM(4671,4676) = 21841596

LCM of 4671 and 4676

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

LCM of:
and

Least Common Multiple of 4671 and 4676

LCM of 4671 and 4676 is 21841596

Least common multiple can be found by multiplying the highest exponent prime factors of 4671 and 4676. First we will calculate the prime factors of 4671 and 4676.

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 4676


2 4676
2 2338
7 1169
167 167
1

Prime factors of 4676 are 2, 7,167. Prime factorization of 4676 in exponential form is:

4676 = 22×71×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 4671 and 4676.

LCM(4671,4676) = 22×33×71×1671×1731
LCM(4671,4676) = 21841596

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 4676

List of positive integer factors of 4676 that divides 4676 without a remainder.

1, 2, 4, 7, 14, 28, 167, 334, 668, 1169, 2338, 4676

Least Common Multiple of 4671 and 4676 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 4676, than apply into the LCM equation.

GCF(4671,4676) = 1
LCM(4671,4676) = ( 4671 × 4676) / 1
LCM(4671,4676) = 21841596 / 1
LCM(4671,4676) = 21841596

Properties of LCM 4671 and 4676

(i) The LCM of 4676 and 4671 is associative

LCM of 4671 and 4676 = LCM of 4676 and 4671

Related Least Common Multiples of 4671

Related Least Common Multiples of 4676

Frequently Asked Questions on LCM of 4671 and 4676

1. What is the LCM of 4671 and 4676?

Answer: LCM of 4671 and 4676 is 21841596.

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 4676?

Answer: Factors of 4676 are 1, 2, 4, 7, 14, 28, 167, 334, 668, 1169, 2338, 4676. There are 12 integers that are factors of 4676. The greatest factor of 4676 is 4676.

4. How to Find the LCM of 4671 and 4676?

Answer:

Least Common Multiple of 4671 and 4676 = 21841596

Step 1: Find the prime factorization of 4671

4671 = 3 x 3 x 3 x 173

Step 2: Find the prime factorization of 4676

4676 = 2 x 2 x 7 x 167

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

LCM = 21841596 = 2 x 2 x 3 x 3 x 3 x 7 x 167 x 173

Step 4: Therefore, the least common multiple of 4671 and 4676 is 21841596.