Least Common Multiple of 352 and 354

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 354 the smallest integer that is 62304 that is divisible by both numbers.

Least Common Multiple (LCM) of 352 and 354 is 62304.

LCM(352,354) = 62304

LCM of 352 and 354

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

LCM of:
and

Least Common Multiple of 352 and 354

LCM of 352 and 354 is 62304

Least common multiple can be found by multiplying the highest exponent prime factors of 352 and 354. First we will calculate the prime factors of 352 and 354.

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 354


2 354
3 177
59 59
1

Prime factors of 354 are 2, 3,59. Prime factorization of 354 in exponential form is:

354 = 21×31×591

Now multiplying the highest exponent prime factors to calculate the LCM of 352 and 354.

LCM(352,354) = 25×31×111×591
LCM(352,354) = 62304

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 354

List of positive integer factors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Least Common Multiple of 352 and 354 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 354, than apply into the LCM equation.

GCF(352,354) = 2
LCM(352,354) = ( 352 × 354) / 2
LCM(352,354) = 124608 / 2
LCM(352,354) = 62304

Properties of LCM 352 and 354

(i) The LCM of 354 and 352 is associative

LCM of 352 and 354 = LCM of 354 and 352

Related Least Common Multiples of 352

Related Least Common Multiples of 354

Frequently Asked Questions on LCM of 352 and 354

1. What is the LCM of 352 and 354?

Answer: LCM of 352 and 354 is 62304.

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 354?

Answer: Factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354. There are 8 integers that are factors of 354. The greatest factor of 354 is 354.

4. How to Find the LCM of 352 and 354?

Answer:

Least Common Multiple of 352 and 354 = 62304

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 354

354 = 2 x 3 x 59

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

LCM = 62304 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 59

Step 4: Therefore, the least common multiple of 352 and 354 is 62304.