Least Common Multiple of 2365 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 2365 and 2372 the smallest integer that is 5609780 that is divisible by both numbers.

Least Common Multiple (LCM) of 2365 and 2372 is 5609780.

LCM(2365,2372) = 5609780

LCM of 2365 and 2372

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

LCM of:
and

Least Common Multiple of 2365 and 2372

LCM of 2365 and 2372 is 5609780

Least common multiple can be found by multiplying the highest exponent prime factors of 2365 and 2372. First we will calculate the prime factors of 2365 and 2372.

Prime Factorization of 2365


5 2365
11 473
43 43
1

Prime factors of 2365 are 5, 11,43. Prime factorization of 2365 in exponential form is:

2365 = 51×111×431

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 2365 and 2372.

LCM(2365,2372) = 22×51×111×431×5931
LCM(2365,2372) = 5609780

Factors of 2365

List of positive integer factors of 2365 that divides 2365 without a remainder.

1, 5, 11, 43, 55, 215, 473, 2365

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 2365 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 2365 and 2372, than apply into the LCM equation.

GCF(2365,2372) = 1
LCM(2365,2372) = ( 2365 × 2372) / 1
LCM(2365,2372) = 5609780 / 1
LCM(2365,2372) = 5609780

Properties of LCM 2365 and 2372

(i) The LCM of 2372 and 2365 is associative

LCM of 2365 and 2372 = LCM of 2372 and 2365

Related Least Common Multiples of 2365

Related Least Common Multiples of 2372

Frequently Asked Questions on LCM of 2365 and 2372

1. What is the LCM of 2365 and 2372?

Answer: LCM of 2365 and 2372 is 5609780.

2. What are the Factors of 2365?

Answer: Factors of 2365 are 1, 5, 11, 43, 55, 215, 473, 2365. There are 8 integers that are factors of 2365. The greatest factor of 2365 is 2365.

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 2365 and 2372?

Answer:

Least Common Multiple of 2365 and 2372 = 5609780

Step 1: Find the prime factorization of 2365

2365 = 5 x 11 x 43

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 = 5609780 = 2 x 2 x 5 x 11 x 43 x 593

Step 4: Therefore, the least common multiple of 2365 and 2372 is 5609780.