Least Common Multiple of 7348 and 7353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7348 and 7353 the smallest integer that is 54029844 that is divisible by both numbers.

Least Common Multiple (LCM) of 7348 and 7353 is 54029844.

LCM(7348,7353) = 54029844

LCM of 7348 and 7353

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

LCM of:
and

Least Common Multiple of 7348 and 7353

LCM of 7348 and 7353 is 54029844

Least common multiple can be found by multiplying the highest exponent prime factors of 7348 and 7353. First we will calculate the prime factors of 7348 and 7353.

Prime Factorization of 7348


2 7348
2 3674
11 1837
167 167
1

Prime factors of 7348 are 2, 11,167. Prime factorization of 7348 in exponential form is:

7348 = 22×111×1671

Prime Factorization of 7353


3 7353
3 2451
19 817
43 43
1

Prime factors of 7353 are 3, 19,43. Prime factorization of 7353 in exponential form is:

7353 = 32×191×431

Now multiplying the highest exponent prime factors to calculate the LCM of 7348 and 7353.

LCM(7348,7353) = 22×32×111×191×431×1671
LCM(7348,7353) = 54029844

Factors of 7348

List of positive integer factors of 7348 that divides 7348 without a remainder.

1, 2, 4, 11, 22, 44, 167, 334, 668, 1837, 3674, 7348

Factors of 7353

List of positive integer factors of 7353 that divides 7353 without a remainder.

1, 3, 9, 19, 43, 57, 129, 171, 387, 817, 2451, 7353

Least Common Multiple of 7348 and 7353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7348 and 7353, than apply into the LCM equation.

GCF(7348,7353) = 1
LCM(7348,7353) = ( 7348 × 7353) / 1
LCM(7348,7353) = 54029844 / 1
LCM(7348,7353) = 54029844

Properties of LCM 7348 and 7353

(i) The LCM of 7353 and 7348 is associative

LCM of 7348 and 7353 = LCM of 7353 and 7348

Related Least Common Multiples of 7348

Related Least Common Multiples of 7353

Frequently Asked Questions on LCM of 7348 and 7353

1. What is the LCM of 7348 and 7353?

Answer: LCM of 7348 and 7353 is 54029844.

2. What are the Factors of 7348?

Answer: Factors of 7348 are 1, 2, 4, 11, 22, 44, 167, 334, 668, 1837, 3674, 7348. There are 12 integers that are factors of 7348. The greatest factor of 7348 is 7348.

3. What are the Factors of 7353?

Answer: Factors of 7353 are 1, 3, 9, 19, 43, 57, 129, 171, 387, 817, 2451, 7353. There are 12 integers that are factors of 7353. The greatest factor of 7353 is 7353.

4. How to Find the LCM of 7348 and 7353?

Answer:

Least Common Multiple of 7348 and 7353 = 54029844

Step 1: Find the prime factorization of 7348

7348 = 2 x 2 x 11 x 167

Step 2: Find the prime factorization of 7353

7353 = 3 x 3 x 19 x 43

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

LCM = 54029844 = 2 x 2 x 3 x 3 x 11 x 19 x 43 x 167

Step 4: Therefore, the least common multiple of 7348 and 7353 is 54029844.