Least Common Multiple of 7361 and 7366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7361 and 7366 the smallest integer that is 54221126 that is divisible by both numbers.

Least Common Multiple (LCM) of 7361 and 7366 is 54221126.

LCM(7361,7366) = 54221126

LCM of 7361 and 7366

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

LCM of:
and

Least Common Multiple of 7361 and 7366

LCM of 7361 and 7366 is 54221126

Least common multiple can be found by multiplying the highest exponent prime factors of 7361 and 7366. First we will calculate the prime factors of 7361 and 7366.

Prime Factorization of 7361


17 7361
433 433
1

Prime factors of 7361 are 17,433. Prime factorization of 7361 in exponential form is:

7361 = 171×4331

Prime Factorization of 7366


2 7366
29 3683
127 127
1

Prime factors of 7366 are 2, 29,127. Prime factorization of 7366 in exponential form is:

7366 = 21×291×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 7361 and 7366.

LCM(7361,7366) = 21×171×291×1271×4331
LCM(7361,7366) = 54221126

Factors of 7361

List of positive integer factors of 7361 that divides 7361 without a remainder.

1, 17, 433, 7361

Factors of 7366

List of positive integer factors of 7366 that divides 7366 without a remainder.

1, 2, 29, 58, 127, 254, 3683, 7366

Least Common Multiple of 7361 and 7366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7361 and 7366, than apply into the LCM equation.

GCF(7361,7366) = 1
LCM(7361,7366) = ( 7361 × 7366) / 1
LCM(7361,7366) = 54221126 / 1
LCM(7361,7366) = 54221126

Properties of LCM 7361 and 7366

(i) The LCM of 7366 and 7361 is associative

LCM of 7361 and 7366 = LCM of 7366 and 7361

Related Least Common Multiples of 7361

Related Least Common Multiples of 7366

Frequently Asked Questions on LCM of 7361 and 7366

1. What is the LCM of 7361 and 7366?

Answer: LCM of 7361 and 7366 is 54221126.

2. What are the Factors of 7361?

Answer: Factors of 7361 are 1, 17, 433, 7361. There are 4 integers that are factors of 7361. The greatest factor of 7361 is 7361.

3. What are the Factors of 7366?

Answer: Factors of 7366 are 1, 2, 29, 58, 127, 254, 3683, 7366. There are 8 integers that are factors of 7366. The greatest factor of 7366 is 7366.

4. How to Find the LCM of 7361 and 7366?

Answer:

Least Common Multiple of 7361 and 7366 = 54221126

Step 1: Find the prime factorization of 7361

7361 = 17 x 433

Step 2: Find the prime factorization of 7366

7366 = 2 x 29 x 127

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

LCM = 54221126 = 2 x 17 x 29 x 127 x 433

Step 4: Therefore, the least common multiple of 7361 and 7366 is 54221126.