Least Common Multiple of 7208 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 7208 and 7210 the smallest integer that is 25984840 that is divisible by both numbers.

Least Common Multiple (LCM) of 7208 and 7210 is 25984840.

LCM(7208,7210) = 25984840

LCM of 7208 and 7210

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

LCM of:
and

Least Common Multiple of 7208 and 7210

LCM of 7208 and 7210 is 25984840

Least common multiple can be found by multiplying the highest exponent prime factors of 7208 and 7210. First we will calculate the prime factors of 7208 and 7210.

Prime Factorization of 7208


2 7208
2 3604
2 1802
17 901
53 53
1

Prime factors of 7208 are 2, 17,53. Prime factorization of 7208 in exponential form is:

7208 = 23×171×531

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 7208 and 7210.

LCM(7208,7210) = 23×51×71×171×531×1031
LCM(7208,7210) = 25984840

Factors of 7208

List of positive integer factors of 7208 that divides 7208 without a remainder.

1, 2, 4, 8, 17, 34, 53, 68, 106, 136, 212, 424, 901, 1802, 3604, 7208

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 7208 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 7208 and 7210, than apply into the LCM equation.

GCF(7208,7210) = 2
LCM(7208,7210) = ( 7208 × 7210) / 2
LCM(7208,7210) = 51969680 / 2
LCM(7208,7210) = 25984840

Properties of LCM 7208 and 7210

(i) The LCM of 7210 and 7208 is associative

LCM of 7208 and 7210 = LCM of 7210 and 7208

Related Least Common Multiples of 7208

Related Least Common Multiples of 7210

Frequently Asked Questions on LCM of 7208 and 7210

1. What is the LCM of 7208 and 7210?

Answer: LCM of 7208 and 7210 is 25984840.

2. What are the Factors of 7208?

Answer: Factors of 7208 are 1, 2, 4, 8, 17, 34, 53, 68, 106, 136, 212, 424, 901, 1802, 3604, 7208. There are 16 integers that are factors of 7208. The greatest factor of 7208 is 7208.

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 7208 and 7210?

Answer:

Least Common Multiple of 7208 and 7210 = 25984840

Step 1: Find the prime factorization of 7208

7208 = 2 x 2 x 2 x 17 x 53

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 = 25984840 = 2 x 2 x 2 x 5 x 7 x 17 x 53 x 103

Step 4: Therefore, the least common multiple of 7208 and 7210 is 25984840.