Least Common Multiple of 4672 and 4674

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 4674 the smallest integer that is 10918464 that is divisible by both numbers.

Least Common Multiple (LCM) of 4672 and 4674 is 10918464.

LCM(4672,4674) = 10918464

LCM of 4672 and 4674

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

LCM of:
and

Least Common Multiple of 4672 and 4674

LCM of 4672 and 4674 is 10918464

Least common multiple can be found by multiplying the highest exponent prime factors of 4672 and 4674. First we will calculate the prime factors of 4672 and 4674.

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 4674


2 4674
3 2337
19 779
41 41
1

Prime factors of 4674 are 2, 3, 19,41. Prime factorization of 4674 in exponential form is:

4674 = 21×31×191×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4672 and 4674.

LCM(4672,4674) = 26×31×191×411×731
LCM(4672,4674) = 10918464

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 4674

List of positive integer factors of 4674 that divides 4674 without a remainder.

1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337, 4674

Least Common Multiple of 4672 and 4674 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 4674, than apply into the LCM equation.

GCF(4672,4674) = 2
LCM(4672,4674) = ( 4672 × 4674) / 2
LCM(4672,4674) = 21836928 / 2
LCM(4672,4674) = 10918464

Properties of LCM 4672 and 4674

(i) The LCM of 4674 and 4672 is associative

LCM of 4672 and 4674 = LCM of 4674 and 4672

Related Least Common Multiples of 4672

Related Least Common Multiples of 4674

Frequently Asked Questions on LCM of 4672 and 4674

1. What is the LCM of 4672 and 4674?

Answer: LCM of 4672 and 4674 is 10918464.

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 4674?

Answer: Factors of 4674 are 1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337, 4674. There are 16 integers that are factors of 4674. The greatest factor of 4674 is 4674.

4. How to Find the LCM of 4672 and 4674?

Answer:

Least Common Multiple of 4672 and 4674 = 10918464

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 4674

4674 = 2 x 3 x 19 x 41

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

LCM = 10918464 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19 x 41 x 73

Step 4: Therefore, the least common multiple of 4672 and 4674 is 10918464.