Least Common Multiple of 2362 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 2362 and 2370 the smallest integer that is 2798970 that is divisible by both numbers.

Least Common Multiple (LCM) of 2362 and 2370 is 2798970.

LCM(2362,2370) = 2798970

LCM of 2362 and 2370

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

LCM of:
and

Least Common Multiple of 2362 and 2370

LCM of 2362 and 2370 is 2798970

Least common multiple can be found by multiplying the highest exponent prime factors of 2362 and 2370. First we will calculate the prime factors of 2362 and 2370.

Prime Factorization of 2362


2 2362
1181 1181
1

Prime factors of 2362 are 2,1181. Prime factorization of 2362 in exponential form is:

2362 = 21×11811

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 2362 and 2370.

LCM(2362,2370) = 21×31×51×791×11811
LCM(2362,2370) = 2798970

Factors of 2362

List of positive integer factors of 2362 that divides 2362 without a remainder.

1, 2, 1181, 2362

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 2362 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 2362 and 2370, than apply into the LCM equation.

GCF(2362,2370) = 2
LCM(2362,2370) = ( 2362 × 2370) / 2
LCM(2362,2370) = 5597940 / 2
LCM(2362,2370) = 2798970

Properties of LCM 2362 and 2370

(i) The LCM of 2370 and 2362 is associative

LCM of 2362 and 2370 = LCM of 2370 and 2362

Related Least Common Multiples of 2362

Related Least Common Multiples of 2370

Frequently Asked Questions on LCM of 2362 and 2370

1. What is the LCM of 2362 and 2370?

Answer: LCM of 2362 and 2370 is 2798970.

2. What are the Factors of 2362?

Answer: Factors of 2362 are 1, 2, 1181, 2362. There are 4 integers that are factors of 2362. The greatest factor of 2362 is 2362.

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 2362 and 2370?

Answer:

Least Common Multiple of 2362 and 2370 = 2798970

Step 1: Find the prime factorization of 2362

2362 = 2 x 1181

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 = 2798970 = 2 x 3 x 5 x 79 x 1181

Step 4: Therefore, the least common multiple of 2362 and 2370 is 2798970.