Least Common Multiple of 348 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 348 and 352 the smallest integer that is 30624 that is divisible by both numbers.

Least Common Multiple (LCM) of 348 and 352 is 30624.

LCM(348,352) = 30624

LCM of 348 and 352

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

LCM of:
and

Least Common Multiple of 348 and 352

LCM of 348 and 352 is 30624

Least common multiple can be found by multiplying the highest exponent prime factors of 348 and 352. First we will calculate the prime factors of 348 and 352.

Prime Factorization of 348


2 348
2 174
3 87
29 29
1

Prime factors of 348 are 2, 3,29. Prime factorization of 348 in exponential form is:

348 = 22×31×291

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 348 and 352.

LCM(348,352) = 25×31×111×291
LCM(348,352) = 30624

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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 348 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 348 and 352, than apply into the LCM equation.

GCF(348,352) = 4
LCM(348,352) = ( 348 × 352) / 4
LCM(348,352) = 122496 / 4
LCM(348,352) = 30624

Properties of LCM 348 and 352

(i) The LCM of 352 and 348 is associative

LCM of 348 and 352 = LCM of 352 and 348

Related Least Common Multiples of 348

Related Least Common Multiples of 352

Frequently Asked Questions on LCM of 348 and 352

1. What is the LCM of 348 and 352?

Answer: LCM of 348 and 352 is 30624.

2. What are the Factors of 348?

Answer: Factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348. There are 12 integers that are factors of 348. The greatest factor of 348 is 348.

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 348 and 352?

Answer:

Least Common Multiple of 348 and 352 = 30624

Step 1: Find the prime factorization of 348

348 = 2 x 2 x 3 x 29

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 = 30624 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 29

Step 4: Therefore, the least common multiple of 348 and 352 is 30624.