Least Common Multiple of 4361 and 4364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4361 and 4364 the smallest integer that is 19031404 that is divisible by both numbers.

Least Common Multiple (LCM) of 4361 and 4364 is 19031404.

LCM(4361,4364) = 19031404

LCM of 4361 and 4364

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

LCM of:
and

Least Common Multiple of 4361 and 4364

LCM of 4361 and 4364 is 19031404

Least common multiple can be found by multiplying the highest exponent prime factors of 4361 and 4364. First we will calculate the prime factors of 4361 and 4364.

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

Prime Factorization of 4364


2 4364
2 2182
1091 1091
1

Prime factors of 4364 are 2,1091. Prime factorization of 4364 in exponential form is:

4364 = 22×10911

Now multiplying the highest exponent prime factors to calculate the LCM of 4361 and 4364.

LCM(4361,4364) = 22×72×891×10911
LCM(4361,4364) = 19031404

Factors of 4361

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

1, 7, 49, 89, 623, 4361

Factors of 4364

List of positive integer factors of 4364 that divides 4364 without a remainder.

1, 2, 4, 1091, 2182, 4364

Least Common Multiple of 4361 and 4364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4361 and 4364, than apply into the LCM equation.

GCF(4361,4364) = 1
LCM(4361,4364) = ( 4361 × 4364) / 1
LCM(4361,4364) = 19031404 / 1
LCM(4361,4364) = 19031404

Properties of LCM 4361 and 4364

(i) The LCM of 4364 and 4361 is associative

LCM of 4361 and 4364 = LCM of 4364 and 4361

Related Least Common Multiples of 4361

Related Least Common Multiples of 4364

Frequently Asked Questions on LCM of 4361 and 4364

1. What is the LCM of 4361 and 4364?

Answer: LCM of 4361 and 4364 is 19031404.

2. 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.

3. What are the Factors of 4364?

Answer: Factors of 4364 are 1, 2, 4, 1091, 2182, 4364. There are 6 integers that are factors of 4364. The greatest factor of 4364 is 4364.

4. How to Find the LCM of 4361 and 4364?

Answer:

Least Common Multiple of 4361 and 4364 = 19031404

Step 1: Find the prime factorization of 4361

4361 = 7 x 7 x 89

Step 2: Find the prime factorization of 4364

4364 = 2 x 2 x 1091

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

LCM = 19031404 = 2 x 2 x 7 x 7 x 89 x 1091

Step 4: Therefore, the least common multiple of 4361 and 4364 is 19031404.