Least Common Multiple of 2367 and 2373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2367 and 2373 the smallest integer that is 1872297 that is divisible by both numbers.

Least Common Multiple (LCM) of 2367 and 2373 is 1872297.

LCM(2367,2373) = 1872297

LCM of 2367 and 2373

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

LCM of:
and

Least Common Multiple of 2367 and 2373

LCM of 2367 and 2373 is 1872297

Least common multiple can be found by multiplying the highest exponent prime factors of 2367 and 2373. First we will calculate the prime factors of 2367 and 2373.

Prime Factorization of 2367


3 2367
3 789
263 263
1

Prime factors of 2367 are 3,263. Prime factorization of 2367 in exponential form is:

2367 = 32×2631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2367 and 2373.

LCM(2367,2373) = 32×71×1131×2631
LCM(2367,2373) = 1872297

Factors of 2367

List of positive integer factors of 2367 that divides 2367 without a remainder.

1, 3, 9, 263, 789, 2367

Factors of 2373

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

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

Least Common Multiple of 2367 and 2373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2367 and 2373, than apply into the LCM equation.

GCF(2367,2373) = 3
LCM(2367,2373) = ( 2367 × 2373) / 3
LCM(2367,2373) = 5616891 / 3
LCM(2367,2373) = 1872297

Properties of LCM 2367 and 2373

(i) The LCM of 2373 and 2367 is associative

LCM of 2367 and 2373 = LCM of 2373 and 2367

Related Least Common Multiples of 2367

Related Least Common Multiples of 2373

Frequently Asked Questions on LCM of 2367 and 2373

1. What is the LCM of 2367 and 2373?

Answer: LCM of 2367 and 2373 is 1872297.

2. What are the Factors of 2367?

Answer: Factors of 2367 are 1, 3, 9, 263, 789, 2367. There are 6 integers that are factors of 2367. The greatest factor of 2367 is 2367.

3. 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.

4. How to Find the LCM of 2367 and 2373?

Answer:

Least Common Multiple of 2367 and 2373 = 1872297

Step 1: Find the prime factorization of 2367

2367 = 3 x 3 x 263

Step 2: Find the prime factorization of 2373

2373 = 3 x 7 x 113

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

LCM = 1872297 = 3 x 3 x 7 x 113 x 263

Step 4: Therefore, the least common multiple of 2367 and 2373 is 1872297.