Least Common Multiple of 7397 and 7402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7397 and 7402 the smallest integer that is 54752594 that is divisible by both numbers.

Least Common Multiple (LCM) of 7397 and 7402 is 54752594.

LCM(7397,7402) = 54752594

LCM of 7397 and 7402

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

LCM of:
and

Least Common Multiple of 7397 and 7402

LCM of 7397 and 7402 is 54752594

Least common multiple can be found by multiplying the highest exponent prime factors of 7397 and 7402. First we will calculate the prime factors of 7397 and 7402.

Prime Factorization of 7397


13 7397
569 569
1

Prime factors of 7397 are 13,569. Prime factorization of 7397 in exponential form is:

7397 = 131×5691

Prime Factorization of 7402


2 7402
3701 3701
1

Prime factors of 7402 are 2,3701. Prime factorization of 7402 in exponential form is:

7402 = 21×37011

Now multiplying the highest exponent prime factors to calculate the LCM of 7397 and 7402.

LCM(7397,7402) = 21×131×5691×37011
LCM(7397,7402) = 54752594

Factors of 7397

List of positive integer factors of 7397 that divides 7397 without a remainder.

1, 13, 569, 7397

Factors of 7402

List of positive integer factors of 7402 that divides 7402 without a remainder.

1, 2, 3701, 7402

Least Common Multiple of 7397 and 7402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7397 and 7402, than apply into the LCM equation.

GCF(7397,7402) = 1
LCM(7397,7402) = ( 7397 × 7402) / 1
LCM(7397,7402) = 54752594 / 1
LCM(7397,7402) = 54752594

Properties of LCM 7397 and 7402

(i) The LCM of 7402 and 7397 is associative

LCM of 7397 and 7402 = LCM of 7402 and 7397

Related Least Common Multiples of 7397

Related Least Common Multiples of 7402

Frequently Asked Questions on LCM of 7397 and 7402

1. What is the LCM of 7397 and 7402?

Answer: LCM of 7397 and 7402 is 54752594.

2. What are the Factors of 7397?

Answer: Factors of 7397 are 1, 13, 569, 7397. There are 4 integers that are factors of 7397. The greatest factor of 7397 is 7397.

3. What are the Factors of 7402?

Answer: Factors of 7402 are 1, 2, 3701, 7402. There are 4 integers that are factors of 7402. The greatest factor of 7402 is 7402.

4. How to Find the LCM of 7397 and 7402?

Answer:

Least Common Multiple of 7397 and 7402 = 54752594

Step 1: Find the prime factorization of 7397

7397 = 13 x 569

Step 2: Find the prime factorization of 7402

7402 = 2 x 3701

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

LCM = 54752594 = 2 x 13 x 569 x 3701

Step 4: Therefore, the least common multiple of 7397 and 7402 is 54752594.