Least Common Multiple of 2373 and 2379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2373 and 2379 the smallest integer that is 1881789 that is divisible by both numbers.

Least Common Multiple (LCM) of 2373 and 2379 is 1881789.

LCM(2373,2379) = 1881789

LCM of 2373 and 2379

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

LCM of:
and

Least Common Multiple of 2373 and 2379

LCM of 2373 and 2379 is 1881789

Least common multiple can be found by multiplying the highest exponent prime factors of 2373 and 2379. First we will calculate the prime factors of 2373 and 2379.

Prime Factorization of 2373


3 2373
7 791
113 113
1

Prime factors of 2373 are 3, 7,113. Prime factorization of 2373 in exponential form is:

2373 = 31×71×1131

Prime Factorization of 2379


3 2379
13 793
61 61
1

Prime factors of 2379 are 3, 13,61. Prime factorization of 2379 in exponential form is:

2379 = 31×131×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2373 and 2379.

LCM(2373,2379) = 31×71×131×611×1131
LCM(2373,2379) = 1881789

Factors of 2373

List of positive integer factors of 2373 that divides 2373 without a remainder.

1, 3, 7, 21, 113, 339, 791, 2373

Factors of 2379

List of positive integer factors of 2379 that divides 2379 without a remainder.

1, 3, 13, 39, 61, 183, 793, 2379

Least Common Multiple of 2373 and 2379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2373 and 2379, than apply into the LCM equation.

GCF(2373,2379) = 3
LCM(2373,2379) = ( 2373 × 2379) / 3
LCM(2373,2379) = 5645367 / 3
LCM(2373,2379) = 1881789

Properties of LCM 2373 and 2379

(i) The LCM of 2379 and 2373 is associative

LCM of 2373 and 2379 = LCM of 2379 and 2373

Related Least Common Multiples of 2373

Related Least Common Multiples of 2379

Frequently Asked Questions on LCM of 2373 and 2379

1. What is the LCM of 2373 and 2379?

Answer: LCM of 2373 and 2379 is 1881789.

2. What are the Factors of 2373?

Answer: Factors of 2373 are 1, 3, 7, 21, 113, 339, 791, 2373. There are 8 integers that are factors of 2373. The greatest factor of 2373 is 2373.

3. What are the Factors of 2379?

Answer: Factors of 2379 are 1, 3, 13, 39, 61, 183, 793, 2379. There are 8 integers that are factors of 2379. The greatest factor of 2379 is 2379.

4. How to Find the LCM of 2373 and 2379?

Answer:

Least Common Multiple of 2373 and 2379 = 1881789

Step 1: Find the prime factorization of 2373

2373 = 3 x 7 x 113

Step 2: Find the prime factorization of 2379

2379 = 3 x 13 x 61

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

LCM = 1881789 = 3 x 7 x 13 x 61 x 113

Step 4: Therefore, the least common multiple of 2373 and 2379 is 1881789.