Least Common Multiple of 6160 and 6167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6160 and 6167 the smallest integer that is 5426960 that is divisible by both numbers.

Least Common Multiple (LCM) of 6160 and 6167 is 5426960.

LCM(6160,6167) = 5426960

LCM of 6160 and 6167

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

LCM of:
and

Least Common Multiple of 6160 and 6167

LCM of 6160 and 6167 is 5426960

Least common multiple can be found by multiplying the highest exponent prime factors of 6160 and 6167. First we will calculate the prime factors of 6160 and 6167.

Prime Factorization of 6160


2 6160
2 3080
2 1540
2 770
5 385
7 77
11 11
1

Prime factors of 6160 are 2, 5, 7,11. Prime factorization of 6160 in exponential form is:

6160 = 24×51×71×111

Prime Factorization of 6167


7 6167
881 881
1

Prime factors of 6167 are 7,881. Prime factorization of 6167 in exponential form is:

6167 = 71×8811

Now multiplying the highest exponent prime factors to calculate the LCM of 6160 and 6167.

LCM(6160,6167) = 24×51×71×111×8811
LCM(6160,6167) = 5426960

Factors of 6160

List of positive integer factors of 6160 that divides 6160 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 80, 88, 110, 112, 140, 154, 176, 220, 280, 308, 385, 440, 560, 616, 770, 880, 1232, 1540, 3080, 6160

Factors of 6167

List of positive integer factors of 6167 that divides 6167 without a remainder.

1, 7, 881, 6167

Least Common Multiple of 6160 and 6167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6160 and 6167, than apply into the LCM equation.

GCF(6160,6167) = 7
LCM(6160,6167) = ( 6160 × 6167) / 7
LCM(6160,6167) = 37988720 / 7
LCM(6160,6167) = 5426960

Properties of LCM 6160 and 6167

(i) The LCM of 6167 and 6160 is associative

LCM of 6160 and 6167 = LCM of 6167 and 6160

Related Least Common Multiples of 6160

Related Least Common Multiples of 6167

Frequently Asked Questions on LCM of 6160 and 6167

1. What is the LCM of 6160 and 6167?

Answer: LCM of 6160 and 6167 is 5426960.

2. What are the Factors of 6160?

Answer: Factors of 6160 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 80, 88, 110, 112, 140, 154, 176, 220, 280, 308, 385, 440, 560, 616, 770, 880, 1232, 1540, 3080, 6160. There are 40 integers that are factors of 6160. The greatest factor of 6160 is 6160.

3. What are the Factors of 6167?

Answer: Factors of 6167 are 1, 7, 881, 6167. There are 4 integers that are factors of 6167. The greatest factor of 6167 is 6167.

4. How to Find the LCM of 6160 and 6167?

Answer:

Least Common Multiple of 6160 and 6167 = 5426960

Step 1: Find the prime factorization of 6160

6160 = 2 x 2 x 2 x 2 x 5 x 7 x 11

Step 2: Find the prime factorization of 6167

6167 = 7 x 881

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

LCM = 5426960 = 2 x 2 x 2 x 2 x 5 x 7 x 11 x 881

Step 4: Therefore, the least common multiple of 6160 and 6167 is 5426960.