Least Common Multiple of 4357 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 4357 and 4361 the smallest integer that is 19000877 that is divisible by both numbers.

Least Common Multiple (LCM) of 4357 and 4361 is 19000877.

LCM(4357,4361) = 19000877

LCM of 4357 and 4361

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

LCM of:
and

Least Common Multiple of 4357 and 4361

LCM of 4357 and 4361 is 19000877

Least common multiple can be found by multiplying the highest exponent prime factors of 4357 and 4361. First we will calculate the prime factors of 4357 and 4361.

Prime Factorization of 4357


4357 4357
1

Prime factors of 4357 are 4357. Prime factorization of 4357 in exponential form is:

4357 = 43571

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 4357 and 4361.

LCM(4357,4361) = 72×891×43571
LCM(4357,4361) = 19000877

Factors of 4357

List of positive integer factors of 4357 that divides 4357 without a remainder.

1, 4357

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 4357 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 4357 and 4361, than apply into the LCM equation.

GCF(4357,4361) = 1
LCM(4357,4361) = ( 4357 × 4361) / 1
LCM(4357,4361) = 19000877 / 1
LCM(4357,4361) = 19000877

Properties of LCM 4357 and 4361

(i) The LCM of 4361 and 4357 is associative

LCM of 4357 and 4361 = LCM of 4361 and 4357

Related Least Common Multiples of 4357

Related Least Common Multiples of 4361

Frequently Asked Questions on LCM of 4357 and 4361

1. What is the LCM of 4357 and 4361?

Answer: LCM of 4357 and 4361 is 19000877.

2. What are the Factors of 4357?

Answer: Factors of 4357 are 1, 4357. There are 2 integers that are factors of 4357. The greatest factor of 4357 is 4357.

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 4357 and 4361?

Answer:

Least Common Multiple of 4357 and 4361 = 19000877

Step 1: Find the prime factorization of 4357

4357 = 4357

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 = 19000877 = 7 x 7 x 89 x 4357

Step 4: Therefore, the least common multiple of 4357 and 4361 is 19000877.