Least Common Multiple of 2225 and 2232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2225 and 2232 the smallest integer that is 4966200 that is divisible by both numbers.

Least Common Multiple (LCM) of 2225 and 2232 is 4966200.

LCM(2225,2232) = 4966200

LCM of 2225 and 2232

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

LCM of:
and

Least Common Multiple of 2225 and 2232

LCM of 2225 and 2232 is 4966200

Least common multiple can be found by multiplying the highest exponent prime factors of 2225 and 2232. First we will calculate the prime factors of 2225 and 2232.

Prime Factorization of 2225


5 2225
5 445
89 89
1

Prime factors of 2225 are 5,89. Prime factorization of 2225 in exponential form is:

2225 = 52×891

Prime Factorization of 2232


2 2232
2 1116
2 558
3 279
3 93
31 31
1

Prime factors of 2232 are 2, 3,31. Prime factorization of 2232 in exponential form is:

2232 = 23×32×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2225 and 2232.

LCM(2225,2232) = 23×32×52×311×891
LCM(2225,2232) = 4966200

Factors of 2225

List of positive integer factors of 2225 that divides 2225 without a remainder.

1, 5, 25, 89, 445, 2225

Factors of 2232

List of positive integer factors of 2232 that divides 2232 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 62, 72, 93, 124, 186, 248, 279, 372, 558, 744, 1116, 2232

Least Common Multiple of 2225 and 2232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2225 and 2232, than apply into the LCM equation.

GCF(2225,2232) = 1
LCM(2225,2232) = ( 2225 × 2232) / 1
LCM(2225,2232) = 4966200 / 1
LCM(2225,2232) = 4966200

Properties of LCM 2225 and 2232

(i) The LCM of 2232 and 2225 is associative

LCM of 2225 and 2232 = LCM of 2232 and 2225

Related Least Common Multiples of 2225

Related Least Common Multiples of 2232

Frequently Asked Questions on LCM of 2225 and 2232

1. What is the LCM of 2225 and 2232?

Answer: LCM of 2225 and 2232 is 4966200.

2. What are the Factors of 2225?

Answer: Factors of 2225 are 1, 5, 25, 89, 445, 2225. There are 6 integers that are factors of 2225. The greatest factor of 2225 is 2225.

3. What are the Factors of 2232?

Answer: Factors of 2232 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 62, 72, 93, 124, 186, 248, 279, 372, 558, 744, 1116, 2232. There are 24 integers that are factors of 2232. The greatest factor of 2232 is 2232.

4. How to Find the LCM of 2225 and 2232?

Answer:

Least Common Multiple of 2225 and 2232 = 4966200

Step 1: Find the prime factorization of 2225

2225 = 5 x 5 x 89

Step 2: Find the prime factorization of 2232

2232 = 2 x 2 x 2 x 3 x 3 x 31

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

LCM = 4966200 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 31 x 89

Step 4: Therefore, the least common multiple of 2225 and 2232 is 4966200.