Least Common Multiple of 352 and 355

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 355 the smallest integer that is 124960 that is divisible by both numbers.

Least Common Multiple (LCM) of 352 and 355 is 124960.

LCM(352,355) = 124960

LCM of 352 and 355

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

LCM of:
and

Least Common Multiple of 352 and 355

LCM of 352 and 355 is 124960

Least common multiple can be found by multiplying the highest exponent prime factors of 352 and 355. First we will calculate the prime factors of 352 and 355.

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 355


5 355
71 71
1

Prime factors of 355 are 5,71. Prime factorization of 355 in exponential form is:

355 = 51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 352 and 355.

LCM(352,355) = 25×51×111×711
LCM(352,355) = 124960

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 355

List of positive integer factors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Least Common Multiple of 352 and 355 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 355, than apply into the LCM equation.

GCF(352,355) = 1
LCM(352,355) = ( 352 × 355) / 1
LCM(352,355) = 124960 / 1
LCM(352,355) = 124960

Properties of LCM 352 and 355

(i) The LCM of 355 and 352 is associative

LCM of 352 and 355 = LCM of 355 and 352

Related Least Common Multiples of 352

Related Least Common Multiples of 355

Frequently Asked Questions on LCM of 352 and 355

1. What is the LCM of 352 and 355?

Answer: LCM of 352 and 355 is 124960.

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 355?

Answer: Factors of 355 are 1, 5, 71, 355. There are 4 integers that are factors of 355. The greatest factor of 355 is 355.

4. How to Find the LCM of 352 and 355?

Answer:

Least Common Multiple of 352 and 355 = 124960

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 355

355 = 5 x 71

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

LCM = 124960 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 71

Step 4: Therefore, the least common multiple of 352 and 355 is 124960.