Least Common Multiple of 356 and 357

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 357 the smallest integer that is 127092 that is divisible by both numbers.

Least Common Multiple (LCM) of 356 and 357 is 127092.

LCM(356,357) = 127092

LCM of 356 and 357

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

LCM of:
and

Least Common Multiple of 356 and 357

LCM of 356 and 357 is 127092

Least common multiple can be found by multiplying the highest exponent prime factors of 356 and 357. First we will calculate the prime factors of 356 and 357.

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 357


3 357
7 119
17 17
1

Prime factors of 357 are 3, 7,17. Prime factorization of 357 in exponential form is:

357 = 31×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 356 and 357.

LCM(356,357) = 22×31×71×171×891
LCM(356,357) = 127092

Factors of 356

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

1, 2, 4, 89, 178, 356

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Least Common Multiple of 356 and 357 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 357, than apply into the LCM equation.

GCF(356,357) = 1
LCM(356,357) = ( 356 × 357) / 1
LCM(356,357) = 127092 / 1
LCM(356,357) = 127092

Properties of LCM 356 and 357

(i) The LCM of 357 and 356 is associative

LCM of 356 and 357 = LCM of 357 and 356

Related Least Common Multiples of 356

Related Least Common Multiples of 357

Frequently Asked Questions on LCM of 356 and 357

1. What is the LCM of 356 and 357?

Answer: LCM of 356 and 357 is 127092.

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 357?

Answer: Factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357. There are 8 integers that are factors of 357. The greatest factor of 357 is 357.

4. How to Find the LCM of 356 and 357?

Answer:

Least Common Multiple of 356 and 357 = 127092

Step 1: Find the prime factorization of 356

356 = 2 x 2 x 89

Step 2: Find the prime factorization of 357

357 = 3 x 7 x 17

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

LCM = 127092 = 2 x 2 x 3 x 7 x 17 x 89

Step 4: Therefore, the least common multiple of 356 and 357 is 127092.