Least Common Multiple of 4667 and 4672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4667 and 4672 the smallest integer that is 21804224 that is divisible by both numbers.

Least Common Multiple (LCM) of 4667 and 4672 is 21804224.

LCM(4667,4672) = 21804224

LCM of 4667 and 4672

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

LCM of:
and

Least Common Multiple of 4667 and 4672

LCM of 4667 and 4672 is 21804224

Least common multiple can be found by multiplying the highest exponent prime factors of 4667 and 4672. First we will calculate the prime factors of 4667 and 4672.

Prime Factorization of 4667


13 4667
359 359
1

Prime factors of 4667 are 13,359. Prime factorization of 4667 in exponential form is:

4667 = 131×3591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4667 and 4672.

LCM(4667,4672) = 26×131×731×3591
LCM(4667,4672) = 21804224

Factors of 4667

List of positive integer factors of 4667 that divides 4667 without a remainder.

1, 13, 359, 4667

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

Least Common Multiple of 4667 and 4672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4667 and 4672, than apply into the LCM equation.

GCF(4667,4672) = 1
LCM(4667,4672) = ( 4667 × 4672) / 1
LCM(4667,4672) = 21804224 / 1
LCM(4667,4672) = 21804224

Properties of LCM 4667 and 4672

(i) The LCM of 4672 and 4667 is associative

LCM of 4667 and 4672 = LCM of 4672 and 4667

Related Least Common Multiples of 4667

Related Least Common Multiples of 4672

Frequently Asked Questions on LCM of 4667 and 4672

1. What is the LCM of 4667 and 4672?

Answer: LCM of 4667 and 4672 is 21804224.

2. What are the Factors of 4667?

Answer: Factors of 4667 are 1, 13, 359, 4667. There are 4 integers that are factors of 4667. The greatest factor of 4667 is 4667.

3. 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.

4. How to Find the LCM of 4667 and 4672?

Answer:

Least Common Multiple of 4667 and 4672 = 21804224

Step 1: Find the prime factorization of 4667

4667 = 13 x 359

Step 2: Find the prime factorization of 4672

4672 = 2 x 2 x 2 x 2 x 2 x 2 x 73

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

LCM = 21804224 = 2 x 2 x 2 x 2 x 2 x 2 x 13 x 73 x 359

Step 4: Therefore, the least common multiple of 4667 and 4672 is 21804224.