Least Common Multiple of 7297 and 7301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7297 and 7301 the smallest integer that is 53275397 that is divisible by both numbers.

Least Common Multiple (LCM) of 7297 and 7301 is 53275397.

LCM(7297,7301) = 53275397

LCM of 7297 and 7301

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

LCM of:
and

Least Common Multiple of 7297 and 7301

LCM of 7297 and 7301 is 53275397

Least common multiple can be found by multiplying the highest exponent prime factors of 7297 and 7301. First we will calculate the prime factors of 7297 and 7301.

Prime Factorization of 7297


7297 7297
1

Prime factors of 7297 are 7297. Prime factorization of 7297 in exponential form is:

7297 = 72971

Prime Factorization of 7301


7 7301
7 1043
149 149
1

Prime factors of 7301 are 7,149. Prime factorization of 7301 in exponential form is:

7301 = 72×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 7297 and 7301.

LCM(7297,7301) = 72×1491×72971
LCM(7297,7301) = 53275397

Factors of 7297

List of positive integer factors of 7297 that divides 7297 without a remainder.

1, 7297

Factors of 7301

List of positive integer factors of 7301 that divides 7301 without a remainder.

1, 7, 49, 149, 1043, 7301

Least Common Multiple of 7297 and 7301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7297 and 7301, than apply into the LCM equation.

GCF(7297,7301) = 1
LCM(7297,7301) = ( 7297 × 7301) / 1
LCM(7297,7301) = 53275397 / 1
LCM(7297,7301) = 53275397

Properties of LCM 7297 and 7301

(i) The LCM of 7301 and 7297 is associative

LCM of 7297 and 7301 = LCM of 7301 and 7297

Related Least Common Multiples of 7297

Related Least Common Multiples of 7301

Frequently Asked Questions on LCM of 7297 and 7301

1. What is the LCM of 7297 and 7301?

Answer: LCM of 7297 and 7301 is 53275397.

2. What are the Factors of 7297?

Answer: Factors of 7297 are 1, 7297. There are 2 integers that are factors of 7297. The greatest factor of 7297 is 7297.

3. What are the Factors of 7301?

Answer: Factors of 7301 are 1, 7, 49, 149, 1043, 7301. There are 6 integers that are factors of 7301. The greatest factor of 7301 is 7301.

4. How to Find the LCM of 7297 and 7301?

Answer:

Least Common Multiple of 7297 and 7301 = 53275397

Step 1: Find the prime factorization of 7297

7297 = 7297

Step 2: Find the prime factorization of 7301

7301 = 7 x 7 x 149

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

LCM = 53275397 = 7 x 7 x 149 x 7297

Step 4: Therefore, the least common multiple of 7297 and 7301 is 53275397.