Least Common Multiple of 356 and 361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 356 and 361 the smallest integer that is 128516 that is divisible by both numbers.

Least Common Multiple (LCM) of 356 and 361 is 128516.

LCM(356,361) = 128516

LCM of 356 and 361

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

LCM of:
and

Least Common Multiple of 356 and 361

LCM of 356 and 361 is 128516

Least common multiple can be found by multiplying the highest exponent prime factors of 356 and 361. First we will calculate the prime factors of 356 and 361.

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

Prime Factorization of 361


19 361
19 19
1

Prime factors of 361 are 19. Prime factorization of 361 in exponential form is:

361 = 192

Now multiplying the highest exponent prime factors to calculate the LCM of 356 and 361.

LCM(356,361) = 22×192×891
LCM(356,361) = 128516

Factors of 356

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

1, 2, 4, 89, 178, 356

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1, 19, 361

Least Common Multiple of 356 and 361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 356 and 361, than apply into the LCM equation.

GCF(356,361) = 1
LCM(356,361) = ( 356 × 361) / 1
LCM(356,361) = 128516 / 1
LCM(356,361) = 128516

Properties of LCM 356 and 361

(i) The LCM of 361 and 356 is associative

LCM of 356 and 361 = LCM of 361 and 356

Related Least Common Multiples of 356

Related Least Common Multiples of 361

Frequently Asked Questions on LCM of 356 and 361

1. What is the LCM of 356 and 361?

Answer: LCM of 356 and 361 is 128516.

2. 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.

3. What are the Factors of 361?

Answer: Factors of 361 are 1, 19, 361. There are 3 integers that are factors of 361. The greatest factor of 361 is 361.

4. How to Find the LCM of 356 and 361?

Answer:

Least Common Multiple of 356 and 361 = 128516

Step 1: Find the prime factorization of 356

356 = 2 x 2 x 89

Step 2: Find the prime factorization of 361

361 = 19 x 19

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

LCM = 128516 = 2 x 2 x 19 x 19 x 89

Step 4: Therefore, the least common multiple of 356 and 361 is 128516.