Least Common Multiple of 4160 and 4167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4160 and 4167 the smallest integer that is 17334720 that is divisible by both numbers.

Least Common Multiple (LCM) of 4160 and 4167 is 17334720.

LCM(4160,4167) = 17334720

LCM of 4160 and 4167

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

LCM of:
and

Least Common Multiple of 4160 and 4167

LCM of 4160 and 4167 is 17334720

Least common multiple can be found by multiplying the highest exponent prime factors of 4160 and 4167. First we will calculate the prime factors of 4160 and 4167.

Prime Factorization of 4160


2 4160
2 2080
2 1040
2 520
2 260
2 130
5 65
13 13
1

Prime factors of 4160 are 2, 5,13. Prime factorization of 4160 in exponential form is:

4160 = 26×51×131

Prime Factorization of 4167


3 4167
3 1389
463 463
1

Prime factors of 4167 are 3,463. Prime factorization of 4167 in exponential form is:

4167 = 32×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 4160 and 4167.

LCM(4160,4167) = 26×32×51×131×4631
LCM(4160,4167) = 17334720

Factors of 4160

List of positive integer factors of 4160 that divides 4160 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160

Factors of 4167

List of positive integer factors of 4167 that divides 4167 without a remainder.

1, 3, 9, 463, 1389, 4167

Least Common Multiple of 4160 and 4167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4160 and 4167, than apply into the LCM equation.

GCF(4160,4167) = 1
LCM(4160,4167) = ( 4160 × 4167) / 1
LCM(4160,4167) = 17334720 / 1
LCM(4160,4167) = 17334720

Properties of LCM 4160 and 4167

(i) The LCM of 4167 and 4160 is associative

LCM of 4160 and 4167 = LCM of 4167 and 4160

Related Least Common Multiples of 4160

Related Least Common Multiples of 4167

Frequently Asked Questions on LCM of 4160 and 4167

1. What is the LCM of 4160 and 4167?

Answer: LCM of 4160 and 4167 is 17334720.

2. What are the Factors of 4160?

Answer: Factors of 4160 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160. There are 28 integers that are factors of 4160. The greatest factor of 4160 is 4160.

3. What are the Factors of 4167?

Answer: Factors of 4167 are 1, 3, 9, 463, 1389, 4167. There are 6 integers that are factors of 4167. The greatest factor of 4167 is 4167.

4. How to Find the LCM of 4160 and 4167?

Answer:

Least Common Multiple of 4160 and 4167 = 17334720

Step 1: Find the prime factorization of 4160

4160 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13

Step 2: Find the prime factorization of 4167

4167 = 3 x 3 x 463

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

LCM = 17334720 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 463

Step 4: Therefore, the least common multiple of 4160 and 4167 is 17334720.