Least Common Multiple of 347 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 347 and 352 the smallest integer that is 122144 that is divisible by both numbers.

Least Common Multiple (LCM) of 347 and 352 is 122144.

LCM(347,352) = 122144

LCM of 347 and 352

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

LCM of:
and

Least Common Multiple of 347 and 352

LCM of 347 and 352 is 122144

Least common multiple can be found by multiplying the highest exponent prime factors of 347 and 352. First we will calculate the prime factors of 347 and 352.

Prime Factorization of 347


347 347
1

Prime factors of 347 are 347. Prime factorization of 347 in exponential form is:

347 = 3471

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 347 and 352.

LCM(347,352) = 25×111×3471
LCM(347,352) = 122144

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1, 347

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 347 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 347 and 352, than apply into the LCM equation.

GCF(347,352) = 1
LCM(347,352) = ( 347 × 352) / 1
LCM(347,352) = 122144 / 1
LCM(347,352) = 122144

Properties of LCM 347 and 352

(i) The LCM of 352 and 347 is associative

LCM of 347 and 352 = LCM of 352 and 347

Related Least Common Multiples of 347

Related Least Common Multiples of 352

Frequently Asked Questions on LCM of 347 and 352

1. What is the LCM of 347 and 352?

Answer: LCM of 347 and 352 is 122144.

2. What are the Factors of 347?

Answer: Factors of 347 are 1, 347. There are 2 integers that are factors of 347. The greatest factor of 347 is 347.

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 347 and 352?

Answer:

Least Common Multiple of 347 and 352 = 122144

Step 1: Find the prime factorization of 347

347 = 347

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 = 122144 = 2 x 2 x 2 x 2 x 2 x 11 x 347

Step 4: Therefore, the least common multiple of 347 and 352 is 122144.