Least Common Multiple of 35224 and 35231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 35224 and 35231 the smallest integer that is 177282392 that is divisible by both numbers.

Least Common Multiple (LCM) of 35224 and 35231 is 177282392.

LCM(35224,35231) = 177282392

LCM of 35224 and 35231

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

LCM of:
and

Least Common Multiple of 35224 and 35231

LCM of 35224 and 35231 is 177282392

Least common multiple can be found by multiplying the highest exponent prime factors of 35224 and 35231. First we will calculate the prime factors of 35224 and 35231.

Prime Factorization of 35224


2 35224
2 17612
2 8806
7 4403
17 629
37 37
1

Prime factors of 35224 are 2, 7, 17,37. Prime factorization of 35224 in exponential form is:

35224 = 23×71×171×371

Prime Factorization of 35231


7 35231
7 5033
719 719
1

Prime factors of 35231 are 7,719. Prime factorization of 35231 in exponential form is:

35231 = 72×7191

Now multiplying the highest exponent prime factors to calculate the LCM of 35224 and 35231.

LCM(35224,35231) = 23×72×171×371×7191
LCM(35224,35231) = 177282392

Factors of 35224

List of positive integer factors of 35224 that divides 35224 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 37, 56, 68, 74, 119, 136, 148, 238, 259, 296, 476, 518, 629, 952, 1036, 1258, 2072, 2516, 4403, 5032, 8806, 17612, 35224

Factors of 35231

List of positive integer factors of 35231 that divides 35231 without a remainder.

1, 7, 49, 719, 5033, 35231

Least Common Multiple of 35224 and 35231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35224 and 35231, than apply into the LCM equation.

GCF(35224,35231) = 7
LCM(35224,35231) = ( 35224 × 35231) / 7
LCM(35224,35231) = 1240976744 / 7
LCM(35224,35231) = 177282392

Properties of LCM 35224 and 35231

(i) The LCM of 35231 and 35224 is associative

LCM of 35224 and 35231 = LCM of 35231 and 35224

Related Least Common Multiples of 35224

Related Least Common Multiples of 35231

Frequently Asked Questions on LCM of 35224 and 35231

1. What is the LCM of 35224 and 35231?

Answer: LCM of 35224 and 35231 is 177282392.

2. What are the Factors of 35224?

Answer: Factors of 35224 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 37, 56, 68, 74, 119, 136, 148, 238, 259, 296, 476, 518, 629, 952, 1036, 1258, 2072, 2516, 4403, 5032, 8806, 17612, 35224. There are 32 integers that are factors of 35224. The greatest factor of 35224 is 35224.

3. What are the Factors of 35231?

Answer: Factors of 35231 are 1, 7, 49, 719, 5033, 35231. There are 6 integers that are factors of 35231. The greatest factor of 35231 is 35231.

4. How to Find the LCM of 35224 and 35231?

Answer:

Least Common Multiple of 35224 and 35231 = 177282392

Step 1: Find the prime factorization of 35224

35224 = 2 x 2 x 2 x 7 x 17 x 37

Step 2: Find the prime factorization of 35231

35231 = 7 x 7 x 719

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

LCM = 177282392 = 2 x 2 x 2 x 7 x 7 x 17 x 37 x 719

Step 4: Therefore, the least common multiple of 35224 and 35231 is 177282392.