Least Common Multiple of 4355 and 4363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4355 and 4363 the smallest integer that is 19000865 that is divisible by both numbers.

Least Common Multiple (LCM) of 4355 and 4363 is 19000865.

LCM(4355,4363) = 19000865

LCM of 4355 and 4363

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

LCM of:
and

Least Common Multiple of 4355 and 4363

LCM of 4355 and 4363 is 19000865

Least common multiple can be found by multiplying the highest exponent prime factors of 4355 and 4363. First we will calculate the prime factors of 4355 and 4363.

Prime Factorization of 4355


5 4355
13 871
67 67
1

Prime factors of 4355 are 5, 13,67. Prime factorization of 4355 in exponential form is:

4355 = 51×131×671

Prime Factorization of 4363


4363 4363
1

Prime factors of 4363 are 4363. Prime factorization of 4363 in exponential form is:

4363 = 43631

Now multiplying the highest exponent prime factors to calculate the LCM of 4355 and 4363.

LCM(4355,4363) = 51×131×671×43631
LCM(4355,4363) = 19000865

Factors of 4355

List of positive integer factors of 4355 that divides 4355 without a remainder.

1, 5, 13, 65, 67, 335, 871, 4355

Factors of 4363

List of positive integer factors of 4363 that divides 4363 without a remainder.

1, 4363

Least Common Multiple of 4355 and 4363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4355 and 4363, than apply into the LCM equation.

GCF(4355,4363) = 1
LCM(4355,4363) = ( 4355 × 4363) / 1
LCM(4355,4363) = 19000865 / 1
LCM(4355,4363) = 19000865

Properties of LCM 4355 and 4363

(i) The LCM of 4363 and 4355 is associative

LCM of 4355 and 4363 = LCM of 4363 and 4355

Related Least Common Multiples of 4355

Related Least Common Multiples of 4363

Frequently Asked Questions on LCM of 4355 and 4363

1. What is the LCM of 4355 and 4363?

Answer: LCM of 4355 and 4363 is 19000865.

2. What are the Factors of 4355?

Answer: Factors of 4355 are 1, 5, 13, 65, 67, 335, 871, 4355. There are 8 integers that are factors of 4355. The greatest factor of 4355 is 4355.

3. What are the Factors of 4363?

Answer: Factors of 4363 are 1, 4363. There are 2 integers that are factors of 4363. The greatest factor of 4363 is 4363.

4. How to Find the LCM of 4355 and 4363?

Answer:

Least Common Multiple of 4355 and 4363 = 19000865

Step 1: Find the prime factorization of 4355

4355 = 5 x 13 x 67

Step 2: Find the prime factorization of 4363

4363 = 4363

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

LCM = 19000865 = 5 x 13 x 67 x 4363

Step 4: Therefore, the least common multiple of 4355 and 4363 is 19000865.