Least Common Multiple of 4332 and 4337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4332 and 4337 the smallest integer that is 18787884 that is divisible by both numbers.

Least Common Multiple (LCM) of 4332 and 4337 is 18787884.

LCM(4332,4337) = 18787884

LCM of 4332 and 4337

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

LCM of:
and

Least Common Multiple of 4332 and 4337

LCM of 4332 and 4337 is 18787884

Least common multiple can be found by multiplying the highest exponent prime factors of 4332 and 4337. First we will calculate the prime factors of 4332 and 4337.

Prime Factorization of 4332


2 4332
2 2166
3 1083
19 361
19 19
1

Prime factors of 4332 are 2, 3,19. Prime factorization of 4332 in exponential form is:

4332 = 22×31×192

Prime Factorization of 4337


4337 4337
1

Prime factors of 4337 are 4337. Prime factorization of 4337 in exponential form is:

4337 = 43371

Now multiplying the highest exponent prime factors to calculate the LCM of 4332 and 4337.

LCM(4332,4337) = 22×31×192×43371
LCM(4332,4337) = 18787884

Factors of 4332

List of positive integer factors of 4332 that divides 4332 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 361, 722, 1083, 1444, 2166, 4332

Factors of 4337

List of positive integer factors of 4337 that divides 4337 without a remainder.

1, 4337

Least Common Multiple of 4332 and 4337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4332 and 4337, than apply into the LCM equation.

GCF(4332,4337) = 1
LCM(4332,4337) = ( 4332 × 4337) / 1
LCM(4332,4337) = 18787884 / 1
LCM(4332,4337) = 18787884

Properties of LCM 4332 and 4337

(i) The LCM of 4337 and 4332 is associative

LCM of 4332 and 4337 = LCM of 4337 and 4332

Related Least Common Multiples of 4332

Related Least Common Multiples of 4337

Frequently Asked Questions on LCM of 4332 and 4337

1. What is the LCM of 4332 and 4337?

Answer: LCM of 4332 and 4337 is 18787884.

2. What are the Factors of 4332?

Answer: Factors of 4332 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 361, 722, 1083, 1444, 2166, 4332. There are 18 integers that are factors of 4332. The greatest factor of 4332 is 4332.

3. What are the Factors of 4337?

Answer: Factors of 4337 are 1, 4337. There are 2 integers that are factors of 4337. The greatest factor of 4337 is 4337.

4. How to Find the LCM of 4332 and 4337?

Answer:

Least Common Multiple of 4332 and 4337 = 18787884

Step 1: Find the prime factorization of 4332

4332 = 2 x 2 x 3 x 19 x 19

Step 2: Find the prime factorization of 4337

4337 = 4337

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

LCM = 18787884 = 2 x 2 x 3 x 19 x 19 x 4337

Step 4: Therefore, the least common multiple of 4332 and 4337 is 18787884.