Least Common Multiple of 34160 and 34167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34160 and 34167 the smallest integer that is 166734960 that is divisible by both numbers.

Least Common Multiple (LCM) of 34160 and 34167 is 166734960.

LCM(34160,34167) = 166734960

LCM of 34160 and 34167

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

LCM of:
and

Least Common Multiple of 34160 and 34167

LCM of 34160 and 34167 is 166734960

Least common multiple can be found by multiplying the highest exponent prime factors of 34160 and 34167. First we will calculate the prime factors of 34160 and 34167.

Prime Factorization of 34160


2 34160
2 17080
2 8540
2 4270
5 2135
7 427
61 61
1

Prime factors of 34160 are 2, 5, 7,61. Prime factorization of 34160 in exponential form is:

34160 = 24×51×71×611

Prime Factorization of 34167


3 34167
7 11389
1627 1627
1

Prime factors of 34167 are 3, 7,1627. Prime factorization of 34167 in exponential form is:

34167 = 31×71×16271

Now multiplying the highest exponent prime factors to calculate the LCM of 34160 and 34167.

LCM(34160,34167) = 24×31×51×71×611×16271
LCM(34160,34167) = 166734960

Factors of 34160

List of positive integer factors of 34160 that divides 34160 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 61, 70, 80, 112, 122, 140, 244, 280, 305, 427, 488, 560, 610, 854, 976, 1220, 1708, 2135, 2440, 3416, 4270, 4880, 6832, 8540, 17080, 34160

Factors of 34167

List of positive integer factors of 34167 that divides 34167 without a remainder.

1, 3, 7, 21, 1627, 4881, 11389, 34167

Least Common Multiple of 34160 and 34167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34160 and 34167, than apply into the LCM equation.

GCF(34160,34167) = 7
LCM(34160,34167) = ( 34160 × 34167) / 7
LCM(34160,34167) = 1167144720 / 7
LCM(34160,34167) = 166734960

Properties of LCM 34160 and 34167

(i) The LCM of 34167 and 34160 is associative

LCM of 34160 and 34167 = LCM of 34167 and 34160

Related Least Common Multiples of 34160

Related Least Common Multiples of 34167

Frequently Asked Questions on LCM of 34160 and 34167

1. What is the LCM of 34160 and 34167?

Answer: LCM of 34160 and 34167 is 166734960.

2. What are the Factors of 34160?

Answer: Factors of 34160 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 61, 70, 80, 112, 122, 140, 244, 280, 305, 427, 488, 560, 610, 854, 976, 1220, 1708, 2135, 2440, 3416, 4270, 4880, 6832, 8540, 17080, 34160. There are 40 integers that are factors of 34160. The greatest factor of 34160 is 34160.

3. What are the Factors of 34167?

Answer: Factors of 34167 are 1, 3, 7, 21, 1627, 4881, 11389, 34167. There are 8 integers that are factors of 34167. The greatest factor of 34167 is 34167.

4. How to Find the LCM of 34160 and 34167?

Answer:

Least Common Multiple of 34160 and 34167 = 166734960

Step 1: Find the prime factorization of 34160

34160 = 2 x 2 x 2 x 2 x 5 x 7 x 61

Step 2: Find the prime factorization of 34167

34167 = 3 x 7 x 1627

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

LCM = 166734960 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 61 x 1627

Step 4: Therefore, the least common multiple of 34160 and 34167 is 166734960.