Least Common Multiple of 352 and 357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 352 and 357 the smallest integer that is 125664 that is divisible by both numbers.

Least Common Multiple (LCM) of 352 and 357 is 125664.

LCM(352,357) = 125664

LCM of 352 and 357

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

LCM of:
and

Least Common Multiple of 352 and 357

LCM of 352 and 357 is 125664

Least common multiple can be found by multiplying the highest exponent prime factors of 352 and 357. First we will calculate the prime factors of 352 and 357.

Prime Factorization of 352


2 352
2 176
2 88
2 44
2 22
11 11
1

Prime factors of 352 are 2,11. Prime factorization of 352 in exponential form is:

352 = 25×111

Prime Factorization of 357


3 357
7 119
17 17
1

Prime factors of 357 are 3, 7,17. Prime factorization of 357 in exponential form is:

357 = 31×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 352 and 357.

LCM(352,357) = 25×31×71×111×171
LCM(352,357) = 125664

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Least Common Multiple of 352 and 357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 352 and 357, than apply into the LCM equation.

GCF(352,357) = 1
LCM(352,357) = ( 352 × 357) / 1
LCM(352,357) = 125664 / 1
LCM(352,357) = 125664

Properties of LCM 352 and 357

(i) The LCM of 357 and 352 is associative

LCM of 352 and 357 = LCM of 357 and 352

Related Least Common Multiples of 352

Related Least Common Multiples of 357

Frequently Asked Questions on LCM of 352 and 357

1. What is the LCM of 352 and 357?

Answer: LCM of 352 and 357 is 125664.

2. What are the Factors of 352?

Answer: Factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352. There are 12 integers that are factors of 352. The greatest factor of 352 is 352.

3. What are the Factors of 357?

Answer: Factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357. There are 8 integers that are factors of 357. The greatest factor of 357 is 357.

4. How to Find the LCM of 352 and 357?

Answer:

Least Common Multiple of 352 and 357 = 125664

Step 1: Find the prime factorization of 352

352 = 2 x 2 x 2 x 2 x 2 x 11

Step 2: Find the prime factorization of 357

357 = 3 x 7 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 = 125664 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 17

Step 4: Therefore, the least common multiple of 352 and 357 is 125664.