Least Common Multiple of 7197 and 7202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7197 and 7202 the smallest integer that is 51832794 that is divisible by both numbers.

Least Common Multiple (LCM) of 7197 and 7202 is 51832794.

LCM(7197,7202) = 51832794

LCM of 7197 and 7202

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

LCM of:
and

Least Common Multiple of 7197 and 7202

LCM of 7197 and 7202 is 51832794

Least common multiple can be found by multiplying the highest exponent prime factors of 7197 and 7202. First we will calculate the prime factors of 7197 and 7202.

Prime Factorization of 7197


3 7197
2399 2399
1

Prime factors of 7197 are 3,2399. Prime factorization of 7197 in exponential form is:

7197 = 31×23991

Prime Factorization of 7202


2 7202
13 3601
277 277
1

Prime factors of 7202 are 2, 13,277. Prime factorization of 7202 in exponential form is:

7202 = 21×131×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 7197 and 7202.

LCM(7197,7202) = 21×31×131×2771×23991
LCM(7197,7202) = 51832794

Factors of 7197

List of positive integer factors of 7197 that divides 7197 without a remainder.

1, 3, 2399, 7197

Factors of 7202

List of positive integer factors of 7202 that divides 7202 without a remainder.

1, 2, 13, 26, 277, 554, 3601, 7202

Least Common Multiple of 7197 and 7202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7197 and 7202, than apply into the LCM equation.

GCF(7197,7202) = 1
LCM(7197,7202) = ( 7197 × 7202) / 1
LCM(7197,7202) = 51832794 / 1
LCM(7197,7202) = 51832794

Properties of LCM 7197 and 7202

(i) The LCM of 7202 and 7197 is associative

LCM of 7197 and 7202 = LCM of 7202 and 7197

Related Least Common Multiples of 7197

Related Least Common Multiples of 7202

Frequently Asked Questions on LCM of 7197 and 7202

1. What is the LCM of 7197 and 7202?

Answer: LCM of 7197 and 7202 is 51832794.

2. What are the Factors of 7197?

Answer: Factors of 7197 are 1, 3, 2399, 7197. There are 4 integers that are factors of 7197. The greatest factor of 7197 is 7197.

3. What are the Factors of 7202?

Answer: Factors of 7202 are 1, 2, 13, 26, 277, 554, 3601, 7202. There are 8 integers that are factors of 7202. The greatest factor of 7202 is 7202.

4. How to Find the LCM of 7197 and 7202?

Answer:

Least Common Multiple of 7197 and 7202 = 51832794

Step 1: Find the prime factorization of 7197

7197 = 3 x 2399

Step 2: Find the prime factorization of 7202

7202 = 2 x 13 x 277

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

LCM = 51832794 = 2 x 3 x 13 x 277 x 2399

Step 4: Therefore, the least common multiple of 7197 and 7202 is 51832794.