Least Common Multiple of 7334 and 7341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7334 and 7341 the smallest integer that is 53838894 that is divisible by both numbers.

Least Common Multiple (LCM) of 7334 and 7341 is 53838894.

LCM(7334,7341) = 53838894

LCM of 7334 and 7341

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

LCM of:
and

Least Common Multiple of 7334 and 7341

LCM of 7334 and 7341 is 53838894

Least common multiple can be found by multiplying the highest exponent prime factors of 7334 and 7341. First we will calculate the prime factors of 7334 and 7341.

Prime Factorization of 7334


2 7334
19 3667
193 193
1

Prime factors of 7334 are 2, 19,193. Prime factorization of 7334 in exponential form is:

7334 = 21×191×1931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7334 and 7341.

LCM(7334,7341) = 21×31×191×1931×24471
LCM(7334,7341) = 53838894

Factors of 7334

List of positive integer factors of 7334 that divides 7334 without a remainder.

1, 2, 19, 38, 193, 386, 3667, 7334

Factors of 7341

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

1, 3, 2447, 7341

Least Common Multiple of 7334 and 7341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7334 and 7341, than apply into the LCM equation.

GCF(7334,7341) = 1
LCM(7334,7341) = ( 7334 × 7341) / 1
LCM(7334,7341) = 53838894 / 1
LCM(7334,7341) = 53838894

Properties of LCM 7334 and 7341

(i) The LCM of 7341 and 7334 is associative

LCM of 7334 and 7341 = LCM of 7341 and 7334

Related Least Common Multiples of 7334

Related Least Common Multiples of 7341

Frequently Asked Questions on LCM of 7334 and 7341

1. What is the LCM of 7334 and 7341?

Answer: LCM of 7334 and 7341 is 53838894.

2. What are the Factors of 7334?

Answer: Factors of 7334 are 1, 2, 19, 38, 193, 386, 3667, 7334. There are 8 integers that are factors of 7334. The greatest factor of 7334 is 7334.

3. 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.

4. How to Find the LCM of 7334 and 7341?

Answer:

Least Common Multiple of 7334 and 7341 = 53838894

Step 1: Find the prime factorization of 7334

7334 = 2 x 19 x 193

Step 2: Find the prime factorization of 7341

7341 = 3 x 2447

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

LCM = 53838894 = 2 x 3 x 19 x 193 x 2447

Step 4: Therefore, the least common multiple of 7334 and 7341 is 53838894.