Least Common Multiple of 7204 and 7210

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 7210 the smallest integer that is 25970420 that is divisible by both numbers.

Least Common Multiple (LCM) of 7204 and 7210 is 25970420.

LCM(7204,7210) = 25970420

LCM of 7204 and 7210

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

LCM of:
and

Least Common Multiple of 7204 and 7210

LCM of 7204 and 7210 is 25970420

Least common multiple can be found by multiplying the highest exponent prime factors of 7204 and 7210. First we will calculate the prime factors of 7204 and 7210.

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 7210


2 7210
5 3605
7 721
103 103
1

Prime factors of 7210 are 2, 5, 7,103. Prime factorization of 7210 in exponential form is:

7210 = 21×51×71×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 7204 and 7210.

LCM(7204,7210) = 22×51×71×1031×18011
LCM(7204,7210) = 25970420

Factors of 7204

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

1, 2, 4, 1801, 3602, 7204

Factors of 7210

List of positive integer factors of 7210 that divides 7210 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 103, 206, 515, 721, 1030, 1442, 3605, 7210

Least Common Multiple of 7204 and 7210 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 7210, than apply into the LCM equation.

GCF(7204,7210) = 2
LCM(7204,7210) = ( 7204 × 7210) / 2
LCM(7204,7210) = 51940840 / 2
LCM(7204,7210) = 25970420

Properties of LCM 7204 and 7210

(i) The LCM of 7210 and 7204 is associative

LCM of 7204 and 7210 = LCM of 7210 and 7204

Related Least Common Multiples of 7204

Related Least Common Multiples of 7210

Frequently Asked Questions on LCM of 7204 and 7210

1. What is the LCM of 7204 and 7210?

Answer: LCM of 7204 and 7210 is 25970420.

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 7210?

Answer: Factors of 7210 are 1, 2, 5, 7, 10, 14, 35, 70, 103, 206, 515, 721, 1030, 1442, 3605, 7210. There are 16 integers that are factors of 7210. The greatest factor of 7210 is 7210.

4. How to Find the LCM of 7204 and 7210?

Answer:

Least Common Multiple of 7204 and 7210 = 25970420

Step 1: Find the prime factorization of 7204

7204 = 2 x 2 x 1801

Step 2: Find the prime factorization of 7210

7210 = 2 x 5 x 7 x 103

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

LCM = 25970420 = 2 x 2 x 5 x 7 x 103 x 1801

Step 4: Therefore, the least common multiple of 7204 and 7210 is 25970420.