Least Common Multiple of 7205 and 7211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7205 and 7211 the smallest integer that is 51955255 that is divisible by both numbers.

Least Common Multiple (LCM) of 7205 and 7211 is 51955255.

LCM(7205,7211) = 51955255

LCM of 7205 and 7211

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

LCM of:
and

Least Common Multiple of 7205 and 7211

LCM of 7205 and 7211 is 51955255

Least common multiple can be found by multiplying the highest exponent prime factors of 7205 and 7211. First we will calculate the prime factors of 7205 and 7211.

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

Prime Factorization of 7211


7211 7211
1

Prime factors of 7211 are 7211. Prime factorization of 7211 in exponential form is:

7211 = 72111

Now multiplying the highest exponent prime factors to calculate the LCM of 7205 and 7211.

LCM(7205,7211) = 51×111×1311×72111
LCM(7205,7211) = 51955255

Factors of 7205

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

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

Factors of 7211

List of positive integer factors of 7211 that divides 7211 without a remainder.

1, 7211

Least Common Multiple of 7205 and 7211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7205 and 7211, than apply into the LCM equation.

GCF(7205,7211) = 1
LCM(7205,7211) = ( 7205 × 7211) / 1
LCM(7205,7211) = 51955255 / 1
LCM(7205,7211) = 51955255

Properties of LCM 7205 and 7211

(i) The LCM of 7211 and 7205 is associative

LCM of 7205 and 7211 = LCM of 7211 and 7205

Related Least Common Multiples of 7205

Related Least Common Multiples of 7211

Frequently Asked Questions on LCM of 7205 and 7211

1. What is the LCM of 7205 and 7211?

Answer: LCM of 7205 and 7211 is 51955255.

2. 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.

3. What are the Factors of 7211?

Answer: Factors of 7211 are 1, 7211. There are 2 integers that are factors of 7211. The greatest factor of 7211 is 7211.

4. How to Find the LCM of 7205 and 7211?

Answer:

Least Common Multiple of 7205 and 7211 = 51955255

Step 1: Find the prime factorization of 7205

7205 = 5 x 11 x 131

Step 2: Find the prime factorization of 7211

7211 = 7211

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

LCM = 51955255 = 5 x 11 x 131 x 7211

Step 4: Therefore, the least common multiple of 7205 and 7211 is 51955255.