Least Common Multiple of 362 and 368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 362 and 368 the smallest integer that is 66608 that is divisible by both numbers.

Least Common Multiple (LCM) of 362 and 368 is 66608.

LCM(362,368) = 66608

LCM of 362 and 368

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

LCM of:
and

Least Common Multiple of 362 and 368

LCM of 362 and 368 is 66608

Least common multiple can be found by multiplying the highest exponent prime factors of 362 and 368. First we will calculate the prime factors of 362 and 368.

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

Prime Factorization of 368


2 368
2 184
2 92
2 46
23 23
1

Prime factors of 368 are 2,23. Prime factorization of 368 in exponential form is:

368 = 24×231

Now multiplying the highest exponent prime factors to calculate the LCM of 362 and 368.

LCM(362,368) = 24×231×1811
LCM(362,368) = 66608

Factors of 362

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

1, 2, 181, 362

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Least Common Multiple of 362 and 368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 362 and 368, than apply into the LCM equation.

GCF(362,368) = 2
LCM(362,368) = ( 362 × 368) / 2
LCM(362,368) = 133216 / 2
LCM(362,368) = 66608

Properties of LCM 362 and 368

(i) The LCM of 368 and 362 is associative

LCM of 362 and 368 = LCM of 368 and 362

Related Least Common Multiples of 362

Related Least Common Multiples of 368

Frequently Asked Questions on LCM of 362 and 368

1. What is the LCM of 362 and 368?

Answer: LCM of 362 and 368 is 66608.

2. 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.

3. What are the Factors of 368?

Answer: Factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368. There are 10 integers that are factors of 368. The greatest factor of 368 is 368.

4. How to Find the LCM of 362 and 368?

Answer:

Least Common Multiple of 362 and 368 = 66608

Step 1: Find the prime factorization of 362

362 = 2 x 181

Step 2: Find the prime factorization of 368

368 = 2 x 2 x 2 x 2 x 23

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

LCM = 66608 = 2 x 2 x 2 x 2 x 23 x 181

Step 4: Therefore, the least common multiple of 362 and 368 is 66608.