Least Common Multiple of 34152 and 34160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34152 and 34160 the smallest integer that is 145829040 that is divisible by both numbers.

Least Common Multiple (LCM) of 34152 and 34160 is 145829040.

LCM(34152,34160) = 145829040

LCM of 34152 and 34160

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

LCM of:
and

Least Common Multiple of 34152 and 34160

LCM of 34152 and 34160 is 145829040

Least common multiple can be found by multiplying the highest exponent prime factors of 34152 and 34160. First we will calculate the prime factors of 34152 and 34160.

Prime Factorization of 34152


2 34152
2 17076
2 8538
3 4269
1423 1423
1

Prime factors of 34152 are 2, 3,1423. Prime factorization of 34152 in exponential form is:

34152 = 23×31×14231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 34152 and 34160.

LCM(34152,34160) = 24×31×51×71×611×14231
LCM(34152,34160) = 145829040

Factors of 34152

List of positive integer factors of 34152 that divides 34152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1423, 2846, 4269, 5692, 8538, 11384, 17076, 34152

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

Least Common Multiple of 34152 and 34160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34152 and 34160, than apply into the LCM equation.

GCF(34152,34160) = 8
LCM(34152,34160) = ( 34152 × 34160) / 8
LCM(34152,34160) = 1166632320 / 8
LCM(34152,34160) = 145829040

Properties of LCM 34152 and 34160

(i) The LCM of 34160 and 34152 is associative

LCM of 34152 and 34160 = LCM of 34160 and 34152

Related Least Common Multiples of 34152

Related Least Common Multiples of 34160

Frequently Asked Questions on LCM of 34152 and 34160

1. What is the LCM of 34152 and 34160?

Answer: LCM of 34152 and 34160 is 145829040.

2. What are the Factors of 34152?

Answer: Factors of 34152 are 1, 2, 3, 4, 6, 8, 12, 24, 1423, 2846, 4269, 5692, 8538, 11384, 17076, 34152. There are 16 integers that are factors of 34152. The greatest factor of 34152 is 34152.

3. 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.

4. How to Find the LCM of 34152 and 34160?

Answer:

Least Common Multiple of 34152 and 34160 = 145829040

Step 1: Find the prime factorization of 34152

34152 = 2 x 2 x 2 x 3 x 1423

Step 2: Find the prime factorization of 34160

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

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

LCM = 145829040 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 61 x 1423

Step 4: Therefore, the least common multiple of 34152 and 34160 is 145829040.