Least Common Multiple of 7349 and 7357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7349 and 7357 the smallest integer that is 54066593 that is divisible by both numbers.

Least Common Multiple (LCM) of 7349 and 7357 is 54066593.

LCM(7349,7357) = 54066593

LCM of 7349 and 7357

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

LCM of:
and

Least Common Multiple of 7349 and 7357

LCM of 7349 and 7357 is 54066593

Least common multiple can be found by multiplying the highest exponent prime factors of 7349 and 7357. First we will calculate the prime factors of 7349 and 7357.

Prime Factorization of 7349


7349 7349
1

Prime factors of 7349 are 7349. Prime factorization of 7349 in exponential form is:

7349 = 73491

Prime Factorization of 7357


7 7357
1051 1051
1

Prime factors of 7357 are 7,1051. Prime factorization of 7357 in exponential form is:

7357 = 71×10511

Now multiplying the highest exponent prime factors to calculate the LCM of 7349 and 7357.

LCM(7349,7357) = 71×10511×73491
LCM(7349,7357) = 54066593

Factors of 7349

List of positive integer factors of 7349 that divides 7349 without a remainder.

1, 7349

Factors of 7357

List of positive integer factors of 7357 that divides 7357 without a remainder.

1, 7, 1051, 7357

Least Common Multiple of 7349 and 7357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7349 and 7357, than apply into the LCM equation.

GCF(7349,7357) = 1
LCM(7349,7357) = ( 7349 × 7357) / 1
LCM(7349,7357) = 54066593 / 1
LCM(7349,7357) = 54066593

Properties of LCM 7349 and 7357

(i) The LCM of 7357 and 7349 is associative

LCM of 7349 and 7357 = LCM of 7357 and 7349

Related Least Common Multiples of 7349

Related Least Common Multiples of 7357

Frequently Asked Questions on LCM of 7349 and 7357

1. What is the LCM of 7349 and 7357?

Answer: LCM of 7349 and 7357 is 54066593.

2. What are the Factors of 7349?

Answer: Factors of 7349 are 1, 7349. There are 2 integers that are factors of 7349. The greatest factor of 7349 is 7349.

3. What are the Factors of 7357?

Answer: Factors of 7357 are 1, 7, 1051, 7357. There are 4 integers that are factors of 7357. The greatest factor of 7357 is 7357.

4. How to Find the LCM of 7349 and 7357?

Answer:

Least Common Multiple of 7349 and 7357 = 54066593

Step 1: Find the prime factorization of 7349

7349 = 7349

Step 2: Find the prime factorization of 7357

7357 = 7 x 1051

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

LCM = 54066593 = 7 x 1051 x 7349

Step 4: Therefore, the least common multiple of 7349 and 7357 is 54066593.