Least Common Multiple of 7342 and 7348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7342 and 7348 the smallest integer that is 26974508 that is divisible by both numbers.

Least Common Multiple (LCM) of 7342 and 7348 is 26974508.

LCM(7342,7348) = 26974508

LCM of 7342 and 7348

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

LCM of:
and

Least Common Multiple of 7342 and 7348

LCM of 7342 and 7348 is 26974508

Least common multiple can be found by multiplying the highest exponent prime factors of 7342 and 7348. First we will calculate the prime factors of 7342 and 7348.

Prime Factorization of 7342


2 7342
3671 3671
1

Prime factors of 7342 are 2,3671. Prime factorization of 7342 in exponential form is:

7342 = 21×36711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7342 and 7348.

LCM(7342,7348) = 22×111×1671×36711
LCM(7342,7348) = 26974508

Factors of 7342

List of positive integer factors of 7342 that divides 7342 without a remainder.

1, 2, 3671, 7342

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

Least Common Multiple of 7342 and 7348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7342 and 7348, than apply into the LCM equation.

GCF(7342,7348) = 2
LCM(7342,7348) = ( 7342 × 7348) / 2
LCM(7342,7348) = 53949016 / 2
LCM(7342,7348) = 26974508

Properties of LCM 7342 and 7348

(i) The LCM of 7348 and 7342 is associative

LCM of 7342 and 7348 = LCM of 7348 and 7342

Related Least Common Multiples of 7342

Related Least Common Multiples of 7348

Frequently Asked Questions on LCM of 7342 and 7348

1. What is the LCM of 7342 and 7348?

Answer: LCM of 7342 and 7348 is 26974508.

2. What are the Factors of 7342?

Answer: Factors of 7342 are 1, 2, 3671, 7342. There are 4 integers that are factors of 7342. The greatest factor of 7342 is 7342.

3. 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.

4. How to Find the LCM of 7342 and 7348?

Answer:

Least Common Multiple of 7342 and 7348 = 26974508

Step 1: Find the prime factorization of 7342

7342 = 2 x 3671

Step 2: Find the prime factorization of 7348

7348 = 2 x 2 x 11 x 167

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

LCM = 26974508 = 2 x 2 x 11 x 167 x 3671

Step 4: Therefore, the least common multiple of 7342 and 7348 is 26974508.