Least Common Multiple of 7204 and 7205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7204 and 7205 the smallest integer that is 51904820 that is divisible by both numbers.

Least Common Multiple (LCM) of 7204 and 7205 is 51904820.

LCM(7204,7205) = 51904820

LCM of 7204 and 7205

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

LCM of:
and

Least Common Multiple of 7204 and 7205

LCM of 7204 and 7205 is 51904820

Least common multiple can be found by multiplying the highest exponent prime factors of 7204 and 7205. First we will calculate the prime factors of 7204 and 7205.

Prime Factorization of 7204


2 7204
2 3602
1801 1801
1

Prime factors of 7204 are 2,1801. Prime factorization of 7204 in exponential form is:

7204 = 22×18011

Prime Factorization of 7205


5 7205
11 1441
131 131
1

Prime factors of 7205 are 5, 11,131. Prime factorization of 7205 in exponential form is:

7205 = 51×111×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 7204 and 7205.

LCM(7204,7205) = 22×51×111×1311×18011
LCM(7204,7205) = 51904820

Factors of 7204

List of positive integer factors of 7204 that divides 7204 without a remainder.

1, 2, 4, 1801, 3602, 7204

Factors of 7205

List of positive integer factors of 7205 that divides 7205 without a remainder.

1, 5, 11, 55, 131, 655, 1441, 7205

Least Common Multiple of 7204 and 7205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7204 and 7205, than apply into the LCM equation.

GCF(7204,7205) = 1
LCM(7204,7205) = ( 7204 × 7205) / 1
LCM(7204,7205) = 51904820 / 1
LCM(7204,7205) = 51904820

Properties of LCM 7204 and 7205

(i) The LCM of 7205 and 7204 is associative

LCM of 7204 and 7205 = LCM of 7205 and 7204

Related Least Common Multiples of 7204

Related Least Common Multiples of 7205

Frequently Asked Questions on LCM of 7204 and 7205

1. What is the LCM of 7204 and 7205?

Answer: LCM of 7204 and 7205 is 51904820.

2. What are the Factors of 7204?

Answer: Factors of 7204 are 1, 2, 4, 1801, 3602, 7204. There are 6 integers that are factors of 7204. The greatest factor of 7204 is 7204.

3. What are the Factors of 7205?

Answer: Factors of 7205 are 1, 5, 11, 55, 131, 655, 1441, 7205. There are 8 integers that are factors of 7205. The greatest factor of 7205 is 7205.

4. How to Find the LCM of 7204 and 7205?

Answer:

Least Common Multiple of 7204 and 7205 = 51904820

Step 1: Find the prime factorization of 7204

7204 = 2 x 2 x 1801

Step 2: Find the prime factorization of 7205

7205 = 5 x 11 x 131

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

LCM = 51904820 = 2 x 2 x 5 x 11 x 131 x 1801

Step 4: Therefore, the least common multiple of 7204 and 7205 is 51904820.