Least Common Multiple of 2364 and 2370

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 2370 the smallest integer that is 933780 that is divisible by both numbers.

Least Common Multiple (LCM) of 2364 and 2370 is 933780.

LCM(2364,2370) = 933780

LCM of 2364 and 2370

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

LCM of:
and

Least Common Multiple of 2364 and 2370

LCM of 2364 and 2370 is 933780

Least common multiple can be found by multiplying the highest exponent prime factors of 2364 and 2370. First we will calculate the prime factors of 2364 and 2370.

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 2370


2 2370
3 1185
5 395
79 79
1

Prime factors of 2370 are 2, 3, 5,79. Prime factorization of 2370 in exponential form is:

2370 = 21×31×51×791

Now multiplying the highest exponent prime factors to calculate the LCM of 2364 and 2370.

LCM(2364,2370) = 22×31×51×791×1971
LCM(2364,2370) = 933780

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 2370

List of positive integer factors of 2370 that divides 2370 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 79, 158, 237, 395, 474, 790, 1185, 2370

Least Common Multiple of 2364 and 2370 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 2370, than apply into the LCM equation.

GCF(2364,2370) = 6
LCM(2364,2370) = ( 2364 × 2370) / 6
LCM(2364,2370) = 5602680 / 6
LCM(2364,2370) = 933780

Properties of LCM 2364 and 2370

(i) The LCM of 2370 and 2364 is associative

LCM of 2364 and 2370 = LCM of 2370 and 2364

Related Least Common Multiples of 2364

Related Least Common Multiples of 2370

Frequently Asked Questions on LCM of 2364 and 2370

1. What is the LCM of 2364 and 2370?

Answer: LCM of 2364 and 2370 is 933780.

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 2370?

Answer: Factors of 2370 are 1, 2, 3, 5, 6, 10, 15, 30, 79, 158, 237, 395, 474, 790, 1185, 2370. There are 16 integers that are factors of 2370. The greatest factor of 2370 is 2370.

4. How to Find the LCM of 2364 and 2370?

Answer:

Least Common Multiple of 2364 and 2370 = 933780

Step 1: Find the prime factorization of 2364

2364 = 2 x 2 x 3 x 197

Step 2: Find the prime factorization of 2370

2370 = 2 x 3 x 5 x 79

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

LCM = 933780 = 2 x 2 x 3 x 5 x 79 x 197

Step 4: Therefore, the least common multiple of 2364 and 2370 is 933780.