Least Common Multiple of 353 and 359

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 359 the smallest integer that is 126727 that is divisible by both numbers.

Least Common Multiple (LCM) of 353 and 359 is 126727.

LCM(353,359) = 126727

LCM of 353 and 359

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

LCM of:
and

Least Common Multiple of 353 and 359

LCM of 353 and 359 is 126727

Least common multiple can be found by multiplying the highest exponent prime factors of 353 and 359. First we will calculate the prime factors of 353 and 359.

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 359


359 359
1

Prime factors of 359 are 359. Prime factorization of 359 in exponential form is:

359 = 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 353 and 359.

LCM(353,359) = 3531×3591
LCM(353,359) = 126727

Factors of 353

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

1, 353

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1, 359

Least Common Multiple of 353 and 359 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 359, than apply into the LCM equation.

GCF(353,359) = 1
LCM(353,359) = ( 353 × 359) / 1
LCM(353,359) = 126727 / 1
LCM(353,359) = 126727

Properties of LCM 353 and 359

(i) The LCM of 359 and 353 is associative

LCM of 353 and 359 = LCM of 359 and 353

Related Least Common Multiples of 353

Related Least Common Multiples of 359

Frequently Asked Questions on LCM of 353 and 359

1. What is the LCM of 353 and 359?

Answer: LCM of 353 and 359 is 126727.

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 359?

Answer: Factors of 359 are 1, 359. There are 2 integers that are factors of 359. The greatest factor of 359 is 359.

4. How to Find the LCM of 353 and 359?

Answer:

Least Common Multiple of 353 and 359 = 126727

Step 1: Find the prime factorization of 353

353 = 353

Step 2: Find the prime factorization of 359

359 = 359

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

LCM = 126727 = 353 x 359

Step 4: Therefore, the least common multiple of 353 and 359 is 126727.