Least Common Multiple of 4363 and 4371

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 4371 the smallest integer that is 19070673 that is divisible by both numbers.

Least Common Multiple (LCM) of 4363 and 4371 is 19070673.

LCM(4363,4371) = 19070673

LCM of 4363 and 4371

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

LCM of:
and

Least Common Multiple of 4363 and 4371

LCM of 4363 and 4371 is 19070673

Least common multiple can be found by multiplying the highest exponent prime factors of 4363 and 4371. First we will calculate the prime factors of 4363 and 4371.

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 4371


3 4371
31 1457
47 47
1

Prime factors of 4371 are 3, 31,47. Prime factorization of 4371 in exponential form is:

4371 = 31×311×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4363 and 4371.

LCM(4363,4371) = 31×311×471×43631
LCM(4363,4371) = 19070673

Factors of 4363

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

1, 4363

Factors of 4371

List of positive integer factors of 4371 that divides 4371 without a remainder.

1, 3, 31, 47, 93, 141, 1457, 4371

Least Common Multiple of 4363 and 4371 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 4371, than apply into the LCM equation.

GCF(4363,4371) = 1
LCM(4363,4371) = ( 4363 × 4371) / 1
LCM(4363,4371) = 19070673 / 1
LCM(4363,4371) = 19070673

Properties of LCM 4363 and 4371

(i) The LCM of 4371 and 4363 is associative

LCM of 4363 and 4371 = LCM of 4371 and 4363

Related Least Common Multiples of 4363

Related Least Common Multiples of 4371

Frequently Asked Questions on LCM of 4363 and 4371

1. What is the LCM of 4363 and 4371?

Answer: LCM of 4363 and 4371 is 19070673.

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 4371?

Answer: Factors of 4371 are 1, 3, 31, 47, 93, 141, 1457, 4371. There are 8 integers that are factors of 4371. The greatest factor of 4371 is 4371.

4. How to Find the LCM of 4363 and 4371?

Answer:

Least Common Multiple of 4363 and 4371 = 19070673

Step 1: Find the prime factorization of 4363

4363 = 4363

Step 2: Find the prime factorization of 4371

4371 = 3 x 31 x 47

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

LCM = 19070673 = 3 x 31 x 47 x 4363

Step 4: Therefore, the least common multiple of 4363 and 4371 is 19070673.