Least Common Multiple of 350 and 352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 350 and 352 the smallest integer that is 61600 that is divisible by both numbers.

Least Common Multiple (LCM) of 350 and 352 is 61600.

LCM(350,352) = 61600

LCM of 350 and 352

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

LCM of:
and

Least Common Multiple of 350 and 352

LCM of 350 and 352 is 61600

Least common multiple can be found by multiplying the highest exponent prime factors of 350 and 352. First we will calculate the prime factors of 350 and 352.

Prime Factorization of 350


2 350
5 175
5 35
7 7
1

Prime factors of 350 are 2, 5,7. Prime factorization of 350 in exponential form is:

350 = 21×52×71

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

Now multiplying the highest exponent prime factors to calculate the LCM of 350 and 352.

LCM(350,352) = 25×52×71×111
LCM(350,352) = 61600

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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

Least Common Multiple of 350 and 352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 350 and 352, than apply into the LCM equation.

GCF(350,352) = 2
LCM(350,352) = ( 350 × 352) / 2
LCM(350,352) = 123200 / 2
LCM(350,352) = 61600

Properties of LCM 350 and 352

(i) The LCM of 352 and 350 is associative

LCM of 350 and 352 = LCM of 352 and 350

Related Least Common Multiples of 350

Related Least Common Multiples of 352

Frequently Asked Questions on LCM of 350 and 352

1. What is the LCM of 350 and 352?

Answer: LCM of 350 and 352 is 61600.

2. What are the Factors of 350?

Answer: Factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350. There are 12 integers that are factors of 350. The greatest factor of 350 is 350.

3. 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.

4. How to Find the LCM of 350 and 352?

Answer:

Least Common Multiple of 350 and 352 = 61600

Step 1: Find the prime factorization of 350

350 = 2 x 5 x 5 x 7

Step 2: Find the prime factorization of 352

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

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

LCM = 61600 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 350 and 352 is 61600.