Least Common Multiple of 2355 and 2362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2355 and 2362 the smallest integer that is 5562510 that is divisible by both numbers.

Least Common Multiple (LCM) of 2355 and 2362 is 5562510.

LCM(2355,2362) = 5562510

LCM of 2355 and 2362

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

LCM of:
and

Least Common Multiple of 2355 and 2362

LCM of 2355 and 2362 is 5562510

Least common multiple can be found by multiplying the highest exponent prime factors of 2355 and 2362. First we will calculate the prime factors of 2355 and 2362.

Prime Factorization of 2355


3 2355
5 785
157 157
1

Prime factors of 2355 are 3, 5,157. Prime factorization of 2355 in exponential form is:

2355 = 31×51×1571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2355 and 2362.

LCM(2355,2362) = 21×31×51×1571×11811
LCM(2355,2362) = 5562510

Factors of 2355

List of positive integer factors of 2355 that divides 2355 without a remainder.

1, 3, 5, 15, 157, 471, 785, 2355

Factors of 2362

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

1, 2, 1181, 2362

Least Common Multiple of 2355 and 2362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2355 and 2362, than apply into the LCM equation.

GCF(2355,2362) = 1
LCM(2355,2362) = ( 2355 × 2362) / 1
LCM(2355,2362) = 5562510 / 1
LCM(2355,2362) = 5562510

Properties of LCM 2355 and 2362

(i) The LCM of 2362 and 2355 is associative

LCM of 2355 and 2362 = LCM of 2362 and 2355

Related Least Common Multiples of 2355

Related Least Common Multiples of 2362

Frequently Asked Questions on LCM of 2355 and 2362

1. What is the LCM of 2355 and 2362?

Answer: LCM of 2355 and 2362 is 5562510.

2. What are the Factors of 2355?

Answer: Factors of 2355 are 1, 3, 5, 15, 157, 471, 785, 2355. There are 8 integers that are factors of 2355. The greatest factor of 2355 is 2355.

3. 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.

4. How to Find the LCM of 2355 and 2362?

Answer:

Least Common Multiple of 2355 and 2362 = 5562510

Step 1: Find the prime factorization of 2355

2355 = 3 x 5 x 157

Step 2: Find the prime factorization of 2362

2362 = 2 x 1181

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

LCM = 5562510 = 2 x 3 x 5 x 157 x 1181

Step 4: Therefore, the least common multiple of 2355 and 2362 is 5562510.