Least Common Multiple of 4341 and 4346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4341 and 4346 the smallest integer that is 18865986 that is divisible by both numbers.

Least Common Multiple (LCM) of 4341 and 4346 is 18865986.

LCM(4341,4346) = 18865986

LCM of 4341 and 4346

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

LCM of:
and

Least Common Multiple of 4341 and 4346

LCM of 4341 and 4346 is 18865986

Least common multiple can be found by multiplying the highest exponent prime factors of 4341 and 4346. First we will calculate the prime factors of 4341 and 4346.

Prime Factorization of 4341


3 4341
1447 1447
1

Prime factors of 4341 are 3,1447. Prime factorization of 4341 in exponential form is:

4341 = 31×14471

Prime Factorization of 4346


2 4346
41 2173
53 53
1

Prime factors of 4346 are 2, 41,53. Prime factorization of 4346 in exponential form is:

4346 = 21×411×531

Now multiplying the highest exponent prime factors to calculate the LCM of 4341 and 4346.

LCM(4341,4346) = 21×31×411×531×14471
LCM(4341,4346) = 18865986

Factors of 4341

List of positive integer factors of 4341 that divides 4341 without a remainder.

1, 3, 1447, 4341

Factors of 4346

List of positive integer factors of 4346 that divides 4346 without a remainder.

1, 2, 41, 53, 82, 106, 2173, 4346

Least Common Multiple of 4341 and 4346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4341 and 4346, than apply into the LCM equation.

GCF(4341,4346) = 1
LCM(4341,4346) = ( 4341 × 4346) / 1
LCM(4341,4346) = 18865986 / 1
LCM(4341,4346) = 18865986

Properties of LCM 4341 and 4346

(i) The LCM of 4346 and 4341 is associative

LCM of 4341 and 4346 = LCM of 4346 and 4341

Related Least Common Multiples of 4341

Related Least Common Multiples of 4346

Frequently Asked Questions on LCM of 4341 and 4346

1. What is the LCM of 4341 and 4346?

Answer: LCM of 4341 and 4346 is 18865986.

2. What are the Factors of 4341?

Answer: Factors of 4341 are 1, 3, 1447, 4341. There are 4 integers that are factors of 4341. The greatest factor of 4341 is 4341.

3. What are the Factors of 4346?

Answer: Factors of 4346 are 1, 2, 41, 53, 82, 106, 2173, 4346. There are 8 integers that are factors of 4346. The greatest factor of 4346 is 4346.

4. How to Find the LCM of 4341 and 4346?

Answer:

Least Common Multiple of 4341 and 4346 = 18865986

Step 1: Find the prime factorization of 4341

4341 = 3 x 1447

Step 2: Find the prime factorization of 4346

4346 = 2 x 41 x 53

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

LCM = 18865986 = 2 x 3 x 41 x 53 x 1447

Step 4: Therefore, the least common multiple of 4341 and 4346 is 18865986.