Least Common Multiple of 366 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 366 and 368 the smallest integer that is 67344 that is divisible by both numbers.

Least Common Multiple (LCM) of 366 and 368 is 67344.

LCM(366,368) = 67344

LCM of 366 and 368

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

LCM of:
and

Least Common Multiple of 366 and 368

LCM of 366 and 368 is 67344

Least common multiple can be found by multiplying the highest exponent prime factors of 366 and 368. First we will calculate the prime factors of 366 and 368.

Prime Factorization of 366


2 366
3 183
61 61
1

Prime factors of 366 are 2, 3,61. Prime factorization of 366 in exponential form is:

366 = 21×31×611

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 366 and 368.

LCM(366,368) = 24×31×231×611
LCM(366,368) = 67344

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

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 366 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 366 and 368, than apply into the LCM equation.

GCF(366,368) = 2
LCM(366,368) = ( 366 × 368) / 2
LCM(366,368) = 134688 / 2
LCM(366,368) = 67344

Properties of LCM 366 and 368

(i) The LCM of 368 and 366 is associative

LCM of 366 and 368 = LCM of 368 and 366

Related Least Common Multiples of 366

Related Least Common Multiples of 368

Frequently Asked Questions on LCM of 366 and 368

1. What is the LCM of 366 and 368?

Answer: LCM of 366 and 368 is 67344.

2. What are the Factors of 366?

Answer: Factors of 366 are 1, 2, 3, 6, 61, 122, 183, 366. There are 8 integers that are factors of 366. The greatest factor of 366 is 366.

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 366 and 368?

Answer:

Least Common Multiple of 366 and 368 = 67344

Step 1: Find the prime factorization of 366

366 = 2 x 3 x 61

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 = 67344 = 2 x 2 x 2 x 2 x 3 x 23 x 61

Step 4: Therefore, the least common multiple of 366 and 368 is 67344.