Least Common Multiple of 2364 and 2372

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 2372 the smallest integer that is 1401852 that is divisible by both numbers.

Least Common Multiple (LCM) of 2364 and 2372 is 1401852.

LCM(2364,2372) = 1401852

LCM of 2364 and 2372

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

LCM of:
and

Least Common Multiple of 2364 and 2372

LCM of 2364 and 2372 is 1401852

Least common multiple can be found by multiplying the highest exponent prime factors of 2364 and 2372. First we will calculate the prime factors of 2364 and 2372.

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 2372


2 2372
2 1186
593 593
1

Prime factors of 2372 are 2,593. Prime factorization of 2372 in exponential form is:

2372 = 22×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 2364 and 2372.

LCM(2364,2372) = 22×31×1971×5931
LCM(2364,2372) = 1401852

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 2372

List of positive integer factors of 2372 that divides 2372 without a remainder.

1, 2, 4, 593, 1186, 2372

Least Common Multiple of 2364 and 2372 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 2372, than apply into the LCM equation.

GCF(2364,2372) = 4
LCM(2364,2372) = ( 2364 × 2372) / 4
LCM(2364,2372) = 5607408 / 4
LCM(2364,2372) = 1401852

Properties of LCM 2364 and 2372

(i) The LCM of 2372 and 2364 is associative

LCM of 2364 and 2372 = LCM of 2372 and 2364

Related Least Common Multiples of 2364

Related Least Common Multiples of 2372

Frequently Asked Questions on LCM of 2364 and 2372

1. What is the LCM of 2364 and 2372?

Answer: LCM of 2364 and 2372 is 1401852.

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 2372?

Answer: Factors of 2372 are 1, 2, 4, 593, 1186, 2372. There are 6 integers that are factors of 2372. The greatest factor of 2372 is 2372.

4. How to Find the LCM of 2364 and 2372?

Answer:

Least Common Multiple of 2364 and 2372 = 1401852

Step 1: Find the prime factorization of 2364

2364 = 2 x 2 x 3 x 197

Step 2: Find the prime factorization of 2372

2372 = 2 x 2 x 593

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

LCM = 1401852 = 2 x 2 x 3 x 197 x 593

Step 4: Therefore, the least common multiple of 2364 and 2372 is 1401852.