Least Common Multiple of 4363 and 4370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4363 and 4370 the smallest integer that is 19066310 that is divisible by both numbers.

Least Common Multiple (LCM) of 4363 and 4370 is 19066310.

LCM(4363,4370) = 19066310

LCM of 4363 and 4370

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

LCM of:
and

Least Common Multiple of 4363 and 4370

LCM of 4363 and 4370 is 19066310

Least common multiple can be found by multiplying the highest exponent prime factors of 4363 and 4370. First we will calculate the prime factors of 4363 and 4370.

Prime Factorization of 4363


4363 4363
1

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

4363 = 43631

Prime Factorization of 4370


2 4370
5 2185
19 437
23 23
1

Prime factors of 4370 are 2, 5, 19,23. Prime factorization of 4370 in exponential form is:

4370 = 21×51×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4363 and 4370.

LCM(4363,4370) = 21×51×191×231×43631
LCM(4363,4370) = 19066310

Factors of 4363

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

1, 4363

Factors of 4370

List of positive integer factors of 4370 that divides 4370 without a remainder.

1, 2, 5, 10, 19, 23, 38, 46, 95, 115, 190, 230, 437, 874, 2185, 4370

Least Common Multiple of 4363 and 4370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4363 and 4370, than apply into the LCM equation.

GCF(4363,4370) = 1
LCM(4363,4370) = ( 4363 × 4370) / 1
LCM(4363,4370) = 19066310 / 1
LCM(4363,4370) = 19066310

Properties of LCM 4363 and 4370

(i) The LCM of 4370 and 4363 is associative

LCM of 4363 and 4370 = LCM of 4370 and 4363

Related Least Common Multiples of 4363

Related Least Common Multiples of 4370

Frequently Asked Questions on LCM of 4363 and 4370

1. What is the LCM of 4363 and 4370?

Answer: LCM of 4363 and 4370 is 19066310.

2. 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.

3. What are the Factors of 4370?

Answer: Factors of 4370 are 1, 2, 5, 10, 19, 23, 38, 46, 95, 115, 190, 230, 437, 874, 2185, 4370. There are 16 integers that are factors of 4370. The greatest factor of 4370 is 4370.

4. How to Find the LCM of 4363 and 4370?

Answer:

Least Common Multiple of 4363 and 4370 = 19066310

Step 1: Find the prime factorization of 4363

4363 = 4363

Step 2: Find the prime factorization of 4370

4370 = 2 x 5 x 19 x 23

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

LCM = 19066310 = 2 x 5 x 19 x 23 x 4363

Step 4: Therefore, the least common multiple of 4363 and 4370 is 19066310.