Least Common Multiple of 34160 and 34164

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 34164 the smallest integer that is 291760560 that is divisible by both numbers.

Least Common Multiple (LCM) of 34160 and 34164 is 291760560.

LCM(34160,34164) = 291760560

LCM of 34160 and 34164

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

LCM of:
and

Least Common Multiple of 34160 and 34164

LCM of 34160 and 34164 is 291760560

Least common multiple can be found by multiplying the highest exponent prime factors of 34160 and 34164. First we will calculate the prime factors of 34160 and 34164.

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 34164


2 34164
2 17082
3 8541
3 2847
13 949
73 73
1

Prime factors of 34164 are 2, 3, 13,73. Prime factorization of 34164 in exponential form is:

34164 = 22×32×131×731

Now multiplying the highest exponent prime factors to calculate the LCM of 34160 and 34164.

LCM(34160,34164) = 24×32×51×71×131×611×731
LCM(34160,34164) = 291760560

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 34164

List of positive integer factors of 34164 that divides 34164 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 73, 78, 117, 146, 156, 219, 234, 292, 438, 468, 657, 876, 949, 1314, 1898, 2628, 2847, 3796, 5694, 8541, 11388, 17082, 34164

Least Common Multiple of 34160 and 34164 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 34164, than apply into the LCM equation.

GCF(34160,34164) = 4
LCM(34160,34164) = ( 34160 × 34164) / 4
LCM(34160,34164) = 1167042240 / 4
LCM(34160,34164) = 291760560

Properties of LCM 34160 and 34164

(i) The LCM of 34164 and 34160 is associative

LCM of 34160 and 34164 = LCM of 34164 and 34160

Related Least Common Multiples of 34160

Related Least Common Multiples of 34164

Frequently Asked Questions on LCM of 34160 and 34164

1. What is the LCM of 34160 and 34164?

Answer: LCM of 34160 and 34164 is 291760560.

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 34164?

Answer: Factors of 34164 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 73, 78, 117, 146, 156, 219, 234, 292, 438, 468, 657, 876, 949, 1314, 1898, 2628, 2847, 3796, 5694, 8541, 11388, 17082, 34164. There are 36 integers that are factors of 34164. The greatest factor of 34164 is 34164.

4. How to Find the LCM of 34160 and 34164?

Answer:

Least Common Multiple of 34160 and 34164 = 291760560

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 34164

34164 = 2 x 2 x 3 x 3 x 13 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 = 291760560 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 61 x 73

Step 4: Therefore, the least common multiple of 34160 and 34164 is 291760560.