Least Common Multiple of 4366 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 4366 and 4371 the smallest integer that is 19083786 that is divisible by both numbers.

Least Common Multiple (LCM) of 4366 and 4371 is 19083786.

LCM(4366,4371) = 19083786

LCM of 4366 and 4371

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

LCM of:
and

Least Common Multiple of 4366 and 4371

LCM of 4366 and 4371 is 19083786

Least common multiple can be found by multiplying the highest exponent prime factors of 4366 and 4371. First we will calculate the prime factors of 4366 and 4371.

Prime Factorization of 4366


2 4366
37 2183
59 59
1

Prime factors of 4366 are 2, 37,59. Prime factorization of 4366 in exponential form is:

4366 = 21×371×591

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 4366 and 4371.

LCM(4366,4371) = 21×31×311×371×471×591
LCM(4366,4371) = 19083786

Factors of 4366

List of positive integer factors of 4366 that divides 4366 without a remainder.

1, 2, 37, 59, 74, 118, 2183, 4366

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 4366 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 4366 and 4371, than apply into the LCM equation.

GCF(4366,4371) = 1
LCM(4366,4371) = ( 4366 × 4371) / 1
LCM(4366,4371) = 19083786 / 1
LCM(4366,4371) = 19083786

Properties of LCM 4366 and 4371

(i) The LCM of 4371 and 4366 is associative

LCM of 4366 and 4371 = LCM of 4371 and 4366

Related Least Common Multiples of 4366

Related Least Common Multiples of 4371

Frequently Asked Questions on LCM of 4366 and 4371

1. What is the LCM of 4366 and 4371?

Answer: LCM of 4366 and 4371 is 19083786.

2. What are the Factors of 4366?

Answer: Factors of 4366 are 1, 2, 37, 59, 74, 118, 2183, 4366. There are 8 integers that are factors of 4366. The greatest factor of 4366 is 4366.

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 4366 and 4371?

Answer:

Least Common Multiple of 4366 and 4371 = 19083786

Step 1: Find the prime factorization of 4366

4366 = 2 x 37 x 59

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 = 19083786 = 2 x 3 x 31 x 37 x 47 x 59

Step 4: Therefore, the least common multiple of 4366 and 4371 is 19083786.