Least Common Multiple of 7341 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 7341 and 7348 the smallest integer that is 53941668 that is divisible by both numbers.

Least Common Multiple (LCM) of 7341 and 7348 is 53941668.

LCM(7341,7348) = 53941668

LCM of 7341 and 7348

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

LCM of:
and

Least Common Multiple of 7341 and 7348

LCM of 7341 and 7348 is 53941668

Least common multiple can be found by multiplying the highest exponent prime factors of 7341 and 7348. First we will calculate the prime factors of 7341 and 7348.

Prime Factorization of 7341


3 7341
2447 2447
1

Prime factors of 7341 are 3,2447. Prime factorization of 7341 in exponential form is:

7341 = 31×24471

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 7341 and 7348.

LCM(7341,7348) = 22×31×111×1671×24471
LCM(7341,7348) = 53941668

Factors of 7341

List of positive integer factors of 7341 that divides 7341 without a remainder.

1, 3, 2447, 7341

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 7341 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 7341 and 7348, than apply into the LCM equation.

GCF(7341,7348) = 1
LCM(7341,7348) = ( 7341 × 7348) / 1
LCM(7341,7348) = 53941668 / 1
LCM(7341,7348) = 53941668

Properties of LCM 7341 and 7348

(i) The LCM of 7348 and 7341 is associative

LCM of 7341 and 7348 = LCM of 7348 and 7341

Related Least Common Multiples of 7341

Related Least Common Multiples of 7348

Frequently Asked Questions on LCM of 7341 and 7348

1. What is the LCM of 7341 and 7348?

Answer: LCM of 7341 and 7348 is 53941668.

2. What are the Factors of 7341?

Answer: Factors of 7341 are 1, 3, 2447, 7341. There are 4 integers that are factors of 7341. The greatest factor of 7341 is 7341.

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 7341 and 7348?

Answer:

Least Common Multiple of 7341 and 7348 = 53941668

Step 1: Find the prime factorization of 7341

7341 = 3 x 2447

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 = 53941668 = 2 x 2 x 3 x 11 x 167 x 2447

Step 4: Therefore, the least common multiple of 7341 and 7348 is 53941668.