Least Common Multiple of 4352 and 4357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4352 and 4357 the smallest integer that is 18961664 that is divisible by both numbers.

Least Common Multiple (LCM) of 4352 and 4357 is 18961664.

LCM(4352,4357) = 18961664

LCM of 4352 and 4357

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

LCM of:
and

Least Common Multiple of 4352 and 4357

LCM of 4352 and 4357 is 18961664

Least common multiple can be found by multiplying the highest exponent prime factors of 4352 and 4357. First we will calculate the prime factors of 4352 and 4357.

Prime Factorization of 4352


2 4352
2 2176
2 1088
2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 4352 are 2,17. Prime factorization of 4352 in exponential form is:

4352 = 28×171

Prime Factorization of 4357


4357 4357
1

Prime factors of 4357 are 4357. Prime factorization of 4357 in exponential form is:

4357 = 43571

Now multiplying the highest exponent prime factors to calculate the LCM of 4352 and 4357.

LCM(4352,4357) = 28×171×43571
LCM(4352,4357) = 18961664

Factors of 4352

List of positive integer factors of 4352 that divides 4352 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 544, 1088, 2176, 4352

Factors of 4357

List of positive integer factors of 4357 that divides 4357 without a remainder.

1, 4357

Least Common Multiple of 4352 and 4357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4352 and 4357, than apply into the LCM equation.

GCF(4352,4357) = 1
LCM(4352,4357) = ( 4352 × 4357) / 1
LCM(4352,4357) = 18961664 / 1
LCM(4352,4357) = 18961664

Properties of LCM 4352 and 4357

(i) The LCM of 4357 and 4352 is associative

LCM of 4352 and 4357 = LCM of 4357 and 4352

Related Least Common Multiples of 4352

Related Least Common Multiples of 4357

Frequently Asked Questions on LCM of 4352 and 4357

1. What is the LCM of 4352 and 4357?

Answer: LCM of 4352 and 4357 is 18961664.

2. What are the Factors of 4352?

Answer: Factors of 4352 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 544, 1088, 2176, 4352. There are 18 integers that are factors of 4352. The greatest factor of 4352 is 4352.

3. What are the Factors of 4357?

Answer: Factors of 4357 are 1, 4357. There are 2 integers that are factors of 4357. The greatest factor of 4357 is 4357.

4. How to Find the LCM of 4352 and 4357?

Answer:

Least Common Multiple of 4352 and 4357 = 18961664

Step 1: Find the prime factorization of 4352

4352 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17

Step 2: Find the prime factorization of 4357

4357 = 4357

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

LCM = 18961664 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17 x 4357

Step 4: Therefore, the least common multiple of 4352 and 4357 is 18961664.