Least Common Multiple of 352 and 358

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 358 the smallest integer that is 63008 that is divisible by both numbers.

Least Common Multiple (LCM) of 352 and 358 is 63008.

LCM(352,358) = 63008

LCM of 352 and 358

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

LCM of:
and

Least Common Multiple of 352 and 358

LCM of 352 and 358 is 63008

Least common multiple can be found by multiplying the highest exponent prime factors of 352 and 358. First we will calculate the prime factors of 352 and 358.

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 358


2 358
179 179
1

Prime factors of 358 are 2,179. Prime factorization of 358 in exponential form is:

358 = 21×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 352 and 358.

LCM(352,358) = 25×111×1791
LCM(352,358) = 63008

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 358

List of positive integer factors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Least Common Multiple of 352 and 358 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 358, than apply into the LCM equation.

GCF(352,358) = 2
LCM(352,358) = ( 352 × 358) / 2
LCM(352,358) = 126016 / 2
LCM(352,358) = 63008

Properties of LCM 352 and 358

(i) The LCM of 358 and 352 is associative

LCM of 352 and 358 = LCM of 358 and 352

Related Least Common Multiples of 352

Related Least Common Multiples of 358

Frequently Asked Questions on LCM of 352 and 358

1. What is the LCM of 352 and 358?

Answer: LCM of 352 and 358 is 63008.

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 358?

Answer: Factors of 358 are 1, 2, 179, 358. There are 4 integers that are factors of 358. The greatest factor of 358 is 358.

4. How to Find the LCM of 352 and 358?

Answer:

Least Common Multiple of 352 and 358 = 63008

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 358

358 = 2 x 179

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

LCM = 63008 = 2 x 2 x 2 x 2 x 2 x 11 x 179

Step 4: Therefore, the least common multiple of 352 and 358 is 63008.