Least Common Multiple of 2364 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 2364 and 2371 the smallest integer that is 5605044 that is divisible by both numbers.

Least Common Multiple (LCM) of 2364 and 2371 is 5605044.

LCM(2364,2371) = 5605044

LCM of 2364 and 2371

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

LCM of:
and

Least Common Multiple of 2364 and 2371

LCM of 2364 and 2371 is 5605044

Least common multiple can be found by multiplying the highest exponent prime factors of 2364 and 2371. First we will calculate the prime factors of 2364 and 2371.

Prime Factorization of 2364


2 2364
2 1182
3 591
197 197
1

Prime factors of 2364 are 2, 3,197. Prime factorization of 2364 in exponential form is:

2364 = 22×31×1971

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 2364 and 2371.

LCM(2364,2371) = 22×31×1971×23711
LCM(2364,2371) = 5605044

Factors of 2364

List of positive integer factors of 2364 that divides 2364 without a remainder.

1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364

Factors of 2371

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

1, 2371

Least Common Multiple of 2364 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 2364 and 2371, than apply into the LCM equation.

GCF(2364,2371) = 1
LCM(2364,2371) = ( 2364 × 2371) / 1
LCM(2364,2371) = 5605044 / 1
LCM(2364,2371) = 5605044

Properties of LCM 2364 and 2371

(i) The LCM of 2371 and 2364 is associative

LCM of 2364 and 2371 = LCM of 2371 and 2364

Related Least Common Multiples of 2364

Related Least Common Multiples of 2371

Frequently Asked Questions on LCM of 2364 and 2371

1. What is the LCM of 2364 and 2371?

Answer: LCM of 2364 and 2371 is 5605044.

2. What are the Factors of 2364?

Answer: Factors of 2364 are 1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364. There are 12 integers that are factors of 2364. The greatest factor of 2364 is 2364.

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 2364 and 2371?

Answer:

Least Common Multiple of 2364 and 2371 = 5605044

Step 1: Find the prime factorization of 2364

2364 = 2 x 2 x 3 x 197

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 = 5605044 = 2 x 2 x 3 x 197 x 2371

Step 4: Therefore, the least common multiple of 2364 and 2371 is 5605044.