Least Common Multiple of 2363 and 2371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2363 and 2371 the smallest integer that is 5602673 that is divisible by both numbers.

Least Common Multiple (LCM) of 2363 and 2371 is 5602673.

LCM(2363,2371) = 5602673

LCM of 2363 and 2371

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

LCM of:
and

Least Common Multiple of 2363 and 2371

LCM of 2363 and 2371 is 5602673

Least common multiple can be found by multiplying the highest exponent prime factors of 2363 and 2371. First we will calculate the prime factors of 2363 and 2371.

Prime Factorization of 2363


17 2363
139 139
1

Prime factors of 2363 are 17,139. Prime factorization of 2363 in exponential form is:

2363 = 171×1391

Prime Factorization of 2371


2371 2371
1

Prime factors of 2371 are 2371. Prime factorization of 2371 in exponential form is:

2371 = 23711

Now multiplying the highest exponent prime factors to calculate the LCM of 2363 and 2371.

LCM(2363,2371) = 171×1391×23711
LCM(2363,2371) = 5602673

Factors of 2363

List of positive integer factors of 2363 that divides 2363 without a remainder.

1, 17, 139, 2363

Factors of 2371

List of positive integer factors of 2371 that divides 2371 without a remainder.

1, 2371

Least Common Multiple of 2363 and 2371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2363 and 2371, than apply into the LCM equation.

GCF(2363,2371) = 1
LCM(2363,2371) = ( 2363 × 2371) / 1
LCM(2363,2371) = 5602673 / 1
LCM(2363,2371) = 5602673

Properties of LCM 2363 and 2371

(i) The LCM of 2371 and 2363 is associative

LCM of 2363 and 2371 = LCM of 2371 and 2363

Related Least Common Multiples of 2363

Related Least Common Multiples of 2371

Frequently Asked Questions on LCM of 2363 and 2371

1. What is the LCM of 2363 and 2371?

Answer: LCM of 2363 and 2371 is 5602673.

2. What are the Factors of 2363?

Answer: Factors of 2363 are 1, 17, 139, 2363. There are 4 integers that are factors of 2363. The greatest factor of 2363 is 2363.

3. What are the Factors of 2371?

Answer: Factors of 2371 are 1, 2371. There are 2 integers that are factors of 2371. The greatest factor of 2371 is 2371.

4. How to Find the LCM of 2363 and 2371?

Answer:

Least Common Multiple of 2363 and 2371 = 5602673

Step 1: Find the prime factorization of 2363

2363 = 17 x 139

Step 2: Find the prime factorization of 2371

2371 = 2371

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

LCM = 5602673 = 17 x 139 x 2371

Step 4: Therefore, the least common multiple of 2363 and 2371 is 5602673.