Least Common Multiple of 34225 and 34232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34225 and 34232 the smallest integer that is 1171590200 that is divisible by both numbers.

Least Common Multiple (LCM) of 34225 and 34232 is 1171590200.

LCM(34225,34232) = 1171590200

LCM of 34225 and 34232

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

LCM of:
and

Least Common Multiple of 34225 and 34232

LCM of 34225 and 34232 is 1171590200

Least common multiple can be found by multiplying the highest exponent prime factors of 34225 and 34232. First we will calculate the prime factors of 34225 and 34232.

Prime Factorization of 34225


5 34225
5 6845
37 1369
37 37
1

Prime factors of 34225 are 5,37. Prime factorization of 34225 in exponential form is:

34225 = 52×372

Prime Factorization of 34232


2 34232
2 17116
2 8558
11 4279
389 389
1

Prime factors of 34232 are 2, 11,389. Prime factorization of 34232 in exponential form is:

34232 = 23×111×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 34225 and 34232.

LCM(34225,34232) = 23×52×111×372×3891
LCM(34225,34232) = 1171590200

Factors of 34225

List of positive integer factors of 34225 that divides 34225 without a remainder.

1, 5, 25, 37, 185, 925, 1369, 6845, 34225

Factors of 34232

List of positive integer factors of 34232 that divides 34232 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 389, 778, 1556, 3112, 4279, 8558, 17116, 34232

Least Common Multiple of 34225 and 34232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34225 and 34232, than apply into the LCM equation.

GCF(34225,34232) = 1
LCM(34225,34232) = ( 34225 × 34232) / 1
LCM(34225,34232) = 1171590200 / 1
LCM(34225,34232) = 1171590200

Properties of LCM 34225 and 34232

(i) The LCM of 34232 and 34225 is associative

LCM of 34225 and 34232 = LCM of 34232 and 34225

Related Least Common Multiples of 34225

Related Least Common Multiples of 34232

Frequently Asked Questions on LCM of 34225 and 34232

1. What is the LCM of 34225 and 34232?

Answer: LCM of 34225 and 34232 is 1171590200.

2. What are the Factors of 34225?

Answer: Factors of 34225 are 1, 5, 25, 37, 185, 925, 1369, 6845, 34225. There are 9 integers that are factors of 34225. The greatest factor of 34225 is 34225.

3. What are the Factors of 34232?

Answer: Factors of 34232 are 1, 2, 4, 8, 11, 22, 44, 88, 389, 778, 1556, 3112, 4279, 8558, 17116, 34232. There are 16 integers that are factors of 34232. The greatest factor of 34232 is 34232.

4. How to Find the LCM of 34225 and 34232?

Answer:

Least Common Multiple of 34225 and 34232 = 1171590200

Step 1: Find the prime factorization of 34225

34225 = 5 x 5 x 37 x 37

Step 2: Find the prime factorization of 34232

34232 = 2 x 2 x 2 x 11 x 389

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

LCM = 1171590200 = 2 x 2 x 2 x 5 x 5 x 11 x 37 x 37 x 389

Step 4: Therefore, the least common multiple of 34225 and 34232 is 1171590200.