Least Common Multiple of 7341 and 7349

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 7349 the smallest integer that is 53949009 that is divisible by both numbers.

Least Common Multiple (LCM) of 7341 and 7349 is 53949009.

LCM(7341,7349) = 53949009

LCM of 7341 and 7349

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

LCM of:
and

Least Common Multiple of 7341 and 7349

LCM of 7341 and 7349 is 53949009

Least common multiple can be found by multiplying the highest exponent prime factors of 7341 and 7349. First we will calculate the prime factors of 7341 and 7349.

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 7349


7349 7349
1

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

7349 = 73491

Now multiplying the highest exponent prime factors to calculate the LCM of 7341 and 7349.

LCM(7341,7349) = 31×24471×73491
LCM(7341,7349) = 53949009

Factors of 7341

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

1, 3, 2447, 7341

Factors of 7349

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

1, 7349

Least Common Multiple of 7341 and 7349 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 7349, than apply into the LCM equation.

GCF(7341,7349) = 1
LCM(7341,7349) = ( 7341 × 7349) / 1
LCM(7341,7349) = 53949009 / 1
LCM(7341,7349) = 53949009

Properties of LCM 7341 and 7349

(i) The LCM of 7349 and 7341 is associative

LCM of 7341 and 7349 = LCM of 7349 and 7341

Related Least Common Multiples of 7341

Related Least Common Multiples of 7349

Frequently Asked Questions on LCM of 7341 and 7349

1. What is the LCM of 7341 and 7349?

Answer: LCM of 7341 and 7349 is 53949009.

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 7349?

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

4. How to Find the LCM of 7341 and 7349?

Answer:

Least Common Multiple of 7341 and 7349 = 53949009

Step 1: Find the prime factorization of 7341

7341 = 3 x 2447

Step 2: Find the prime factorization of 7349

7349 = 7349

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

LCM = 53949009 = 3 x 2447 x 7349

Step 4: Therefore, the least common multiple of 7341 and 7349 is 53949009.