Least Common Multiple of 348 and 354

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 354 the smallest integer that is 20532 that is divisible by both numbers.

Least Common Multiple (LCM) of 348 and 354 is 20532.

LCM(348,354) = 20532

LCM of 348 and 354

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

LCM of:
and

Least Common Multiple of 348 and 354

LCM of 348 and 354 is 20532

Least common multiple can be found by multiplying the highest exponent prime factors of 348 and 354. First we will calculate the prime factors of 348 and 354.

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 354


2 354
3 177
59 59
1

Prime factors of 354 are 2, 3,59. Prime factorization of 354 in exponential form is:

354 = 21×31×591

Now multiplying the highest exponent prime factors to calculate the LCM of 348 and 354.

LCM(348,354) = 22×31×291×591
LCM(348,354) = 20532

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 354

List of positive integer factors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Least Common Multiple of 348 and 354 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 354, than apply into the LCM equation.

GCF(348,354) = 6
LCM(348,354) = ( 348 × 354) / 6
LCM(348,354) = 123192 / 6
LCM(348,354) = 20532

Properties of LCM 348 and 354

(i) The LCM of 354 and 348 is associative

LCM of 348 and 354 = LCM of 354 and 348

Related Least Common Multiples of 348

Related Least Common Multiples of 354

Frequently Asked Questions on LCM of 348 and 354

1. What is the LCM of 348 and 354?

Answer: LCM of 348 and 354 is 20532.

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 354?

Answer: Factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354. There are 8 integers that are factors of 354. The greatest factor of 354 is 354.

4. How to Find the LCM of 348 and 354?

Answer:

Least Common Multiple of 348 and 354 = 20532

Step 1: Find the prime factorization of 348

348 = 2 x 2 x 3 x 29

Step 2: Find the prime factorization of 354

354 = 2 x 3 x 59

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

LCM = 20532 = 2 x 2 x 3 x 29 x 59

Step 4: Therefore, the least common multiple of 348 and 354 is 20532.