Least Common Multiple of 4345 and 4352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4345 and 4352 the smallest integer that is 18909440 that is divisible by both numbers.

Least Common Multiple (LCM) of 4345 and 4352 is 18909440.

LCM(4345,4352) = 18909440

LCM of 4345 and 4352

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

LCM of:
and

Least Common Multiple of 4345 and 4352

LCM of 4345 and 4352 is 18909440

Least common multiple can be found by multiplying the highest exponent prime factors of 4345 and 4352. First we will calculate the prime factors of 4345 and 4352.

Prime Factorization of 4345


5 4345
11 869
79 79
1

Prime factors of 4345 are 5, 11,79. Prime factorization of 4345 in exponential form is:

4345 = 51×111×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4345 and 4352.

LCM(4345,4352) = 28×51×111×171×791
LCM(4345,4352) = 18909440

Factors of 4345

List of positive integer factors of 4345 that divides 4345 without a remainder.

1, 5, 11, 55, 79, 395, 869, 4345

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

Least Common Multiple of 4345 and 4352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4345 and 4352, than apply into the LCM equation.

GCF(4345,4352) = 1
LCM(4345,4352) = ( 4345 × 4352) / 1
LCM(4345,4352) = 18909440 / 1
LCM(4345,4352) = 18909440

Properties of LCM 4345 and 4352

(i) The LCM of 4352 and 4345 is associative

LCM of 4345 and 4352 = LCM of 4352 and 4345

Related Least Common Multiples of 4345

Related Least Common Multiples of 4352

Frequently Asked Questions on LCM of 4345 and 4352

1. What is the LCM of 4345 and 4352?

Answer: LCM of 4345 and 4352 is 18909440.

2. What are the Factors of 4345?

Answer: Factors of 4345 are 1, 5, 11, 55, 79, 395, 869, 4345. There are 8 integers that are factors of 4345. The greatest factor of 4345 is 4345.

3. 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.

4. How to Find the LCM of 4345 and 4352?

Answer:

Least Common Multiple of 4345 and 4352 = 18909440

Step 1: Find the prime factorization of 4345

4345 = 5 x 11 x 79

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 18909440 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 17 x 79

Step 4: Therefore, the least common multiple of 4345 and 4352 is 18909440.