Least Common Multiple of 351 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 351 and 352 the smallest integer that is 123552 that is divisible by both numbers.

Least Common Multiple (LCM) of 351 and 352 is 123552.

LCM(351,352) = 123552

LCM of 351 and 352

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

LCM of:
and

Least Common Multiple of 351 and 352

LCM of 351 and 352 is 123552

Least common multiple can be found by multiplying the highest exponent prime factors of 351 and 352. First we will calculate the prime factors of 351 and 352.

Prime Factorization of 351


3 351
3 117
3 39
13 13
1

Prime factors of 351 are 3,13. Prime factorization of 351 in exponential form is:

351 = 33×131

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 351 and 352.

LCM(351,352) = 25×33×111×131
LCM(351,352) = 123552

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

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 351 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 351 and 352, than apply into the LCM equation.

GCF(351,352) = 1
LCM(351,352) = ( 351 × 352) / 1
LCM(351,352) = 123552 / 1
LCM(351,352) = 123552

Properties of LCM 351 and 352

(i) The LCM of 352 and 351 is associative

LCM of 351 and 352 = LCM of 352 and 351

Related Least Common Multiples of 351

Related Least Common Multiples of 352

Frequently Asked Questions on LCM of 351 and 352

1. What is the LCM of 351 and 352?

Answer: LCM of 351 and 352 is 123552.

2. What are the Factors of 351?

Answer: Factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351. There are 8 integers that are factors of 351. The greatest factor of 351 is 351.

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 351 and 352?

Answer:

Least Common Multiple of 351 and 352 = 123552

Step 1: Find the prime factorization of 351

351 = 3 x 3 x 3 x 13

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 = 123552 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 13

Step 4: Therefore, the least common multiple of 351 and 352 is 123552.