Least Common Multiple of 4672 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 4672 and 4676 the smallest integer that is 5461568 that is divisible by both numbers.

Least Common Multiple (LCM) of 4672 and 4676 is 5461568.

LCM(4672,4676) = 5461568

LCM of 4672 and 4676

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

LCM of:
and

Least Common Multiple of 4672 and 4676

LCM of 4672 and 4676 is 5461568

Least common multiple can be found by multiplying the highest exponent prime factors of 4672 and 4676. First we will calculate the prime factors of 4672 and 4676.

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 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 4672 and 4676.

LCM(4672,4676) = 26×71×731×1671
LCM(4672,4676) = 5461568

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 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 4672 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 4672 and 4676, than apply into the LCM equation.

GCF(4672,4676) = 4
LCM(4672,4676) = ( 4672 × 4676) / 4
LCM(4672,4676) = 21846272 / 4
LCM(4672,4676) = 5461568

Properties of LCM 4672 and 4676

(i) The LCM of 4676 and 4672 is associative

LCM of 4672 and 4676 = LCM of 4676 and 4672

Related Least Common Multiples of 4672

Related Least Common Multiples of 4676

Frequently Asked Questions on LCM of 4672 and 4676

1. What is the LCM of 4672 and 4676?

Answer: LCM of 4672 and 4676 is 5461568.

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 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 4672 and 4676?

Answer:

Least Common Multiple of 4672 and 4676 = 5461568

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 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 = 5461568 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 73 x 167

Step 4: Therefore, the least common multiple of 4672 and 4676 is 5461568.