Least Common Multiple of 2358 and 2364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2358 and 2364 the smallest integer that is 929052 that is divisible by both numbers.

Least Common Multiple (LCM) of 2358 and 2364 is 929052.

LCM(2358,2364) = 929052

LCM of 2358 and 2364

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

LCM of:
and

Least Common Multiple of 2358 and 2364

LCM of 2358 and 2364 is 929052

Least common multiple can be found by multiplying the highest exponent prime factors of 2358 and 2364. First we will calculate the prime factors of 2358 and 2364.

Prime Factorization of 2358


2 2358
3 1179
3 393
131 131
1

Prime factors of 2358 are 2, 3,131. Prime factorization of 2358 in exponential form is:

2358 = 21×32×1311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2358 and 2364.

LCM(2358,2364) = 22×32×1311×1971
LCM(2358,2364) = 929052

Factors of 2358

List of positive integer factors of 2358 that divides 2358 without a remainder.

1, 2, 3, 6, 9, 18, 131, 262, 393, 786, 1179, 2358

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

Least Common Multiple of 2358 and 2364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2358 and 2364, than apply into the LCM equation.

GCF(2358,2364) = 6
LCM(2358,2364) = ( 2358 × 2364) / 6
LCM(2358,2364) = 5574312 / 6
LCM(2358,2364) = 929052

Properties of LCM 2358 and 2364

(i) The LCM of 2364 and 2358 is associative

LCM of 2358 and 2364 = LCM of 2364 and 2358

Related Least Common Multiples of 2358

Related Least Common Multiples of 2364

Frequently Asked Questions on LCM of 2358 and 2364

1. What is the LCM of 2358 and 2364?

Answer: LCM of 2358 and 2364 is 929052.

2. What are the Factors of 2358?

Answer: Factors of 2358 are 1, 2, 3, 6, 9, 18, 131, 262, 393, 786, 1179, 2358. There are 12 integers that are factors of 2358. The greatest factor of 2358 is 2358.

3. 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.

4. How to Find the LCM of 2358 and 2364?

Answer:

Least Common Multiple of 2358 and 2364 = 929052

Step 1: Find the prime factorization of 2358

2358 = 2 x 3 x 3 x 131

Step 2: Find the prime factorization of 2364

2364 = 2 x 2 x 3 x 197

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

LCM = 929052 = 2 x 2 x 3 x 3 x 131 x 197

Step 4: Therefore, the least common multiple of 2358 and 2364 is 929052.