Least Common Multiple of 4354 and 4361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4354 and 4361 the smallest integer that is 2712542 that is divisible by both numbers.

Least Common Multiple (LCM) of 4354 and 4361 is 2712542.

LCM(4354,4361) = 2712542

LCM of 4354 and 4361

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

LCM of:
and

Least Common Multiple of 4354 and 4361

LCM of 4354 and 4361 is 2712542

Least common multiple can be found by multiplying the highest exponent prime factors of 4354 and 4361. First we will calculate the prime factors of 4354 and 4361.

Prime Factorization of 4354


2 4354
7 2177
311 311
1

Prime factors of 4354 are 2, 7,311. Prime factorization of 4354 in exponential form is:

4354 = 21×71×3111

Prime Factorization of 4361


7 4361
7 623
89 89
1

Prime factors of 4361 are 7,89. Prime factorization of 4361 in exponential form is:

4361 = 72×891

Now multiplying the highest exponent prime factors to calculate the LCM of 4354 and 4361.

LCM(4354,4361) = 21×72×891×3111
LCM(4354,4361) = 2712542

Factors of 4354

List of positive integer factors of 4354 that divides 4354 without a remainder.

1, 2, 7, 14, 311, 622, 2177, 4354

Factors of 4361

List of positive integer factors of 4361 that divides 4361 without a remainder.

1, 7, 49, 89, 623, 4361

Least Common Multiple of 4354 and 4361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4354 and 4361, than apply into the LCM equation.

GCF(4354,4361) = 7
LCM(4354,4361) = ( 4354 × 4361) / 7
LCM(4354,4361) = 18987794 / 7
LCM(4354,4361) = 2712542

Properties of LCM 4354 and 4361

(i) The LCM of 4361 and 4354 is associative

LCM of 4354 and 4361 = LCM of 4361 and 4354

Related Least Common Multiples of 4354

Related Least Common Multiples of 4361

Frequently Asked Questions on LCM of 4354 and 4361

1. What is the LCM of 4354 and 4361?

Answer: LCM of 4354 and 4361 is 2712542.

2. What are the Factors of 4354?

Answer: Factors of 4354 are 1, 2, 7, 14, 311, 622, 2177, 4354. There are 8 integers that are factors of 4354. The greatest factor of 4354 is 4354.

3. What are the Factors of 4361?

Answer: Factors of 4361 are 1, 7, 49, 89, 623, 4361. There are 6 integers that are factors of 4361. The greatest factor of 4361 is 4361.

4. How to Find the LCM of 4354 and 4361?

Answer:

Least Common Multiple of 4354 and 4361 = 2712542

Step 1: Find the prime factorization of 4354

4354 = 2 x 7 x 311

Step 2: Find the prime factorization of 4361

4361 = 7 x 7 x 89

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

LCM = 2712542 = 2 x 7 x 7 x 89 x 311

Step 4: Therefore, the least common multiple of 4354 and 4361 is 2712542.