Least Common Multiple of 7195 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 7195 and 7202 the smallest integer that is 51818390 that is divisible by both numbers.

Least Common Multiple (LCM) of 7195 and 7202 is 51818390.

LCM(7195,7202) = 51818390

LCM of 7195 and 7202

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

LCM of:
and

Least Common Multiple of 7195 and 7202

LCM of 7195 and 7202 is 51818390

Least common multiple can be found by multiplying the highest exponent prime factors of 7195 and 7202. First we will calculate the prime factors of 7195 and 7202.

Prime Factorization of 7195


5 7195
1439 1439
1

Prime factors of 7195 are 5,1439. Prime factorization of 7195 in exponential form is:

7195 = 51×14391

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 7195 and 7202.

LCM(7195,7202) = 21×51×131×2771×14391
LCM(7195,7202) = 51818390

Factors of 7195

List of positive integer factors of 7195 that divides 7195 without a remainder.

1, 5, 1439, 7195

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 7195 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 7195 and 7202, than apply into the LCM equation.

GCF(7195,7202) = 1
LCM(7195,7202) = ( 7195 × 7202) / 1
LCM(7195,7202) = 51818390 / 1
LCM(7195,7202) = 51818390

Properties of LCM 7195 and 7202

(i) The LCM of 7202 and 7195 is associative

LCM of 7195 and 7202 = LCM of 7202 and 7195

Related Least Common Multiples of 7195

Related Least Common Multiples of 7202

Frequently Asked Questions on LCM of 7195 and 7202

1. What is the LCM of 7195 and 7202?

Answer: LCM of 7195 and 7202 is 51818390.

2. What are the Factors of 7195?

Answer: Factors of 7195 are 1, 5, 1439, 7195. There are 4 integers that are factors of 7195. The greatest factor of 7195 is 7195.

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 7195 and 7202?

Answer:

Least Common Multiple of 7195 and 7202 = 51818390

Step 1: Find the prime factorization of 7195

7195 = 5 x 1439

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 = 51818390 = 2 x 5 x 13 x 277 x 1439

Step 4: Therefore, the least common multiple of 7195 and 7202 is 51818390.