Least Common Multiple of 356 and 362

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 362 the smallest integer that is 64436 that is divisible by both numbers.

Least Common Multiple (LCM) of 356 and 362 is 64436.

LCM(356,362) = 64436

LCM of 356 and 362

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

LCM of:
and

Least Common Multiple of 356 and 362

LCM of 356 and 362 is 64436

Least common multiple can be found by multiplying the highest exponent prime factors of 356 and 362. First we will calculate the prime factors of 356 and 362.

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 362


2 362
181 181
1

Prime factors of 362 are 2,181. Prime factorization of 362 in exponential form is:

362 = 21×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 356 and 362.

LCM(356,362) = 22×891×1811
LCM(356,362) = 64436

Factors of 356

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

1, 2, 4, 89, 178, 356

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Least Common Multiple of 356 and 362 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 362, than apply into the LCM equation.

GCF(356,362) = 2
LCM(356,362) = ( 356 × 362) / 2
LCM(356,362) = 128872 / 2
LCM(356,362) = 64436

Properties of LCM 356 and 362

(i) The LCM of 362 and 356 is associative

LCM of 356 and 362 = LCM of 362 and 356

Related Least Common Multiples of 356

Related Least Common Multiples of 362

Frequently Asked Questions on LCM of 356 and 362

1. What is the LCM of 356 and 362?

Answer: LCM of 356 and 362 is 64436.

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 362?

Answer: Factors of 362 are 1, 2, 181, 362. There are 4 integers that are factors of 362. The greatest factor of 362 is 362.

4. How to Find the LCM of 356 and 362?

Answer:

Least Common Multiple of 356 and 362 = 64436

Step 1: Find the prime factorization of 356

356 = 2 x 2 x 89

Step 2: Find the prime factorization of 362

362 = 2 x 181

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

LCM = 64436 = 2 x 2 x 89 x 181

Step 4: Therefore, the least common multiple of 356 and 362 is 64436.