Least Common Multiple of 4371 and 4376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4371 and 4376 the smallest integer that is 19127496 that is divisible by both numbers.

Least Common Multiple (LCM) of 4371 and 4376 is 19127496.

LCM(4371,4376) = 19127496

LCM of 4371 and 4376

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

LCM of:
and

Least Common Multiple of 4371 and 4376

LCM of 4371 and 4376 is 19127496

Least common multiple can be found by multiplying the highest exponent prime factors of 4371 and 4376. First we will calculate the prime factors of 4371 and 4376.

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

Prime Factorization of 4376


2 4376
2 2188
2 1094
547 547
1

Prime factors of 4376 are 2,547. Prime factorization of 4376 in exponential form is:

4376 = 23×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 4371 and 4376.

LCM(4371,4376) = 23×31×311×471×5471
LCM(4371,4376) = 19127496

Factors of 4371

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

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

Factors of 4376

List of positive integer factors of 4376 that divides 4376 without a remainder.

1, 2, 4, 8, 547, 1094, 2188, 4376

Least Common Multiple of 4371 and 4376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4371 and 4376, than apply into the LCM equation.

GCF(4371,4376) = 1
LCM(4371,4376) = ( 4371 × 4376) / 1
LCM(4371,4376) = 19127496 / 1
LCM(4371,4376) = 19127496

Properties of LCM 4371 and 4376

(i) The LCM of 4376 and 4371 is associative

LCM of 4371 and 4376 = LCM of 4376 and 4371

Related Least Common Multiples of 4371

Related Least Common Multiples of 4376

Frequently Asked Questions on LCM of 4371 and 4376

1. What is the LCM of 4371 and 4376?

Answer: LCM of 4371 and 4376 is 19127496.

2. 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.

3. What are the Factors of 4376?

Answer: Factors of 4376 are 1, 2, 4, 8, 547, 1094, 2188, 4376. There are 8 integers that are factors of 4376. The greatest factor of 4376 is 4376.

4. How to Find the LCM of 4371 and 4376?

Answer:

Least Common Multiple of 4371 and 4376 = 19127496

Step 1: Find the prime factorization of 4371

4371 = 3 x 31 x 47

Step 2: Find the prime factorization of 4376

4376 = 2 x 2 x 2 x 547

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

LCM = 19127496 = 2 x 2 x 2 x 3 x 31 x 47 x 547

Step 4: Therefore, the least common multiple of 4371 and 4376 is 19127496.