Least Common Multiple of 35172 and 35176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 35172 and 35176 the smallest integer that is 309302568 that is divisible by both numbers.

Least Common Multiple (LCM) of 35172 and 35176 is 309302568.

LCM(35172,35176) = 309302568

LCM of 35172 and 35176

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

LCM of:
and

Least Common Multiple of 35172 and 35176

LCM of 35172 and 35176 is 309302568

Least common multiple can be found by multiplying the highest exponent prime factors of 35172 and 35176. First we will calculate the prime factors of 35172 and 35176.

Prime Factorization of 35172


2 35172
2 17586
3 8793
3 2931
977 977
1

Prime factors of 35172 are 2, 3,977. Prime factorization of 35172 in exponential form is:

35172 = 22×32×9771

Prime Factorization of 35176


2 35176
2 17588
2 8794
4397 4397
1

Prime factors of 35176 are 2,4397. Prime factorization of 35176 in exponential form is:

35176 = 23×43971

Now multiplying the highest exponent prime factors to calculate the LCM of 35172 and 35176.

LCM(35172,35176) = 23×32×9771×43971
LCM(35172,35176) = 309302568

Factors of 35172

List of positive integer factors of 35172 that divides 35172 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 977, 1954, 2931, 3908, 5862, 8793, 11724, 17586, 35172

Factors of 35176

List of positive integer factors of 35176 that divides 35176 without a remainder.

1, 2, 4, 8, 4397, 8794, 17588, 35176

Least Common Multiple of 35172 and 35176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35172 and 35176, than apply into the LCM equation.

GCF(35172,35176) = 4
LCM(35172,35176) = ( 35172 × 35176) / 4
LCM(35172,35176) = 1237210272 / 4
LCM(35172,35176) = 309302568

Properties of LCM 35172 and 35176

(i) The LCM of 35176 and 35172 is associative

LCM of 35172 and 35176 = LCM of 35176 and 35172

Related Least Common Multiples of 35172

Related Least Common Multiples of 35176

Frequently Asked Questions on LCM of 35172 and 35176

1. What is the LCM of 35172 and 35176?

Answer: LCM of 35172 and 35176 is 309302568.

2. What are the Factors of 35172?

Answer: Factors of 35172 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 977, 1954, 2931, 3908, 5862, 8793, 11724, 17586, 35172. There are 18 integers that are factors of 35172. The greatest factor of 35172 is 35172.

3. What are the Factors of 35176?

Answer: Factors of 35176 are 1, 2, 4, 8, 4397, 8794, 17588, 35176. There are 8 integers that are factors of 35176. The greatest factor of 35176 is 35176.

4. How to Find the LCM of 35172 and 35176?

Answer:

Least Common Multiple of 35172 and 35176 = 309302568

Step 1: Find the prime factorization of 35172

35172 = 2 x 2 x 3 x 3 x 977

Step 2: Find the prime factorization of 35176

35176 = 2 x 2 x 2 x 4397

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

LCM = 309302568 = 2 x 2 x 2 x 3 x 3 x 977 x 4397

Step 4: Therefore, the least common multiple of 35172 and 35176 is 309302568.