Least Common Multiple of 353 and 356

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 356 the smallest integer that is 125668 that is divisible by both numbers.

Least Common Multiple (LCM) of 353 and 356 is 125668.

LCM(353,356) = 125668

LCM of 353 and 356

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

LCM of:
and

Least Common Multiple of 353 and 356

LCM of 353 and 356 is 125668

Least common multiple can be found by multiplying the highest exponent prime factors of 353 and 356. First we will calculate the prime factors of 353 and 356.

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 356


2 356
2 178
89 89
1

Prime factors of 356 are 2,89. Prime factorization of 356 in exponential form is:

356 = 22×891

Now multiplying the highest exponent prime factors to calculate the LCM of 353 and 356.

LCM(353,356) = 22×891×3531
LCM(353,356) = 125668

Factors of 353

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

1, 353

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Least Common Multiple of 353 and 356 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 356, than apply into the LCM equation.

GCF(353,356) = 1
LCM(353,356) = ( 353 × 356) / 1
LCM(353,356) = 125668 / 1
LCM(353,356) = 125668

Properties of LCM 353 and 356

(i) The LCM of 356 and 353 is associative

LCM of 353 and 356 = LCM of 356 and 353

Related Least Common Multiples of 353

Related Least Common Multiples of 356

Frequently Asked Questions on LCM of 353 and 356

1. What is the LCM of 353 and 356?

Answer: LCM of 353 and 356 is 125668.

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 356?

Answer: Factors of 356 are 1, 2, 4, 89, 178, 356. There are 6 integers that are factors of 356. The greatest factor of 356 is 356.

4. How to Find the LCM of 353 and 356?

Answer:

Least Common Multiple of 353 and 356 = 125668

Step 1: Find the prime factorization of 353

353 = 353

Step 2: Find the prime factorization of 356

356 = 2 x 2 x 89

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

LCM = 125668 = 2 x 2 x 89 x 353

Step 4: Therefore, the least common multiple of 353 and 356 is 125668.