Least Common Multiple of 2354 and 2356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2354 and 2356 the smallest integer that is 2773012 that is divisible by both numbers.

Least Common Multiple (LCM) of 2354 and 2356 is 2773012.

LCM(2354,2356) = 2773012

LCM of 2354 and 2356

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

LCM of:
and

Least Common Multiple of 2354 and 2356

LCM of 2354 and 2356 is 2773012

Least common multiple can be found by multiplying the highest exponent prime factors of 2354 and 2356. First we will calculate the prime factors of 2354 and 2356.

Prime Factorization of 2354


2 2354
11 1177
107 107
1

Prime factors of 2354 are 2, 11,107. Prime factorization of 2354 in exponential form is:

2354 = 21×111×1071

Prime Factorization of 2356


2 2356
2 1178
19 589
31 31
1

Prime factors of 2356 are 2, 19,31. Prime factorization of 2356 in exponential form is:

2356 = 22×191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2354 and 2356.

LCM(2354,2356) = 22×111×191×311×1071
LCM(2354,2356) = 2773012

Factors of 2354

List of positive integer factors of 2354 that divides 2354 without a remainder.

1, 2, 11, 22, 107, 214, 1177, 2354

Factors of 2356

List of positive integer factors of 2356 that divides 2356 without a remainder.

1, 2, 4, 19, 31, 38, 62, 76, 124, 589, 1178, 2356

Least Common Multiple of 2354 and 2356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2354 and 2356, than apply into the LCM equation.

GCF(2354,2356) = 2
LCM(2354,2356) = ( 2354 × 2356) / 2
LCM(2354,2356) = 5546024 / 2
LCM(2354,2356) = 2773012

Properties of LCM 2354 and 2356

(i) The LCM of 2356 and 2354 is associative

LCM of 2354 and 2356 = LCM of 2356 and 2354

Related Least Common Multiples of 2354

Related Least Common Multiples of 2356

Frequently Asked Questions on LCM of 2354 and 2356

1. What is the LCM of 2354 and 2356?

Answer: LCM of 2354 and 2356 is 2773012.

2. What are the Factors of 2354?

Answer: Factors of 2354 are 1, 2, 11, 22, 107, 214, 1177, 2354. There are 8 integers that are factors of 2354. The greatest factor of 2354 is 2354.

3. What are the Factors of 2356?

Answer: Factors of 2356 are 1, 2, 4, 19, 31, 38, 62, 76, 124, 589, 1178, 2356. There are 12 integers that are factors of 2356. The greatest factor of 2356 is 2356.

4. How to Find the LCM of 2354 and 2356?

Answer:

Least Common Multiple of 2354 and 2356 = 2773012

Step 1: Find the prime factorization of 2354

2354 = 2 x 11 x 107

Step 2: Find the prime factorization of 2356

2356 = 2 x 2 x 19 x 31

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

LCM = 2773012 = 2 x 2 x 11 x 19 x 31 x 107

Step 4: Therefore, the least common multiple of 2354 and 2356 is 2773012.