Least Common Multiple of 353 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 353 and 354 the smallest integer that is 124962 that is divisible by both numbers.

Least Common Multiple (LCM) of 353 and 354 is 124962.

LCM(353,354) = 124962

LCM of 353 and 354

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

LCM of:
and

Least Common Multiple of 353 and 354

LCM of 353 and 354 is 124962

Least common multiple can be found by multiplying the highest exponent prime factors of 353 and 354. First we will calculate the prime factors of 353 and 354.

Prime Factorization of 353


353 353
1

Prime factors of 353 are 353. Prime factorization of 353 in exponential form is:

353 = 3531

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 353 and 354.

LCM(353,354) = 21×31×591×3531
LCM(353,354) = 124962

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1, 353

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 353 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 353 and 354, than apply into the LCM equation.

GCF(353,354) = 1
LCM(353,354) = ( 353 × 354) / 1
LCM(353,354) = 124962 / 1
LCM(353,354) = 124962

Properties of LCM 353 and 354

(i) The LCM of 354 and 353 is associative

LCM of 353 and 354 = LCM of 354 and 353

Related Least Common Multiples of 353

Related Least Common Multiples of 354

Frequently Asked Questions on LCM of 353 and 354

1. What is the LCM of 353 and 354?

Answer: LCM of 353 and 354 is 124962.

2. What are the Factors of 353?

Answer: Factors of 353 are 1, 353. There are 2 integers that are factors of 353. The greatest factor of 353 is 353.

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 353 and 354?

Answer:

Least Common Multiple of 353 and 354 = 124962

Step 1: Find the prime factorization of 353

353 = 353

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 = 124962 = 2 x 3 x 59 x 353

Step 4: Therefore, the least common multiple of 353 and 354 is 124962.