Least Common Multiple of 362 and 366

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 366 the smallest integer that is 66246 that is divisible by both numbers.

Least Common Multiple (LCM) of 362 and 366 is 66246.

LCM(362,366) = 66246

LCM of 362 and 366

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

LCM of:
and

Least Common Multiple of 362 and 366

LCM of 362 and 366 is 66246

Least common multiple can be found by multiplying the highest exponent prime factors of 362 and 366. First we will calculate the prime factors of 362 and 366.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 362 and 366.

LCM(362,366) = 21×31×611×1811
LCM(362,366) = 66246

Factors of 362

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

1, 2, 181, 362

Factors of 366

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

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

Least Common Multiple of 362 and 366 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 366, than apply into the LCM equation.

GCF(362,366) = 2
LCM(362,366) = ( 362 × 366) / 2
LCM(362,366) = 132492 / 2
LCM(362,366) = 66246

Properties of LCM 362 and 366

(i) The LCM of 366 and 362 is associative

LCM of 362 and 366 = LCM of 366 and 362

Related Least Common Multiples of 362

Related Least Common Multiples of 366

Frequently Asked Questions on LCM of 362 and 366

1. What is the LCM of 362 and 366?

Answer: LCM of 362 and 366 is 66246.

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 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.

4. How to Find the LCM of 362 and 366?

Answer:

Least Common Multiple of 362 and 366 = 66246

Step 1: Find the prime factorization of 362

362 = 2 x 181

Step 2: Find the prime factorization of 366

366 = 2 x 3 x 61

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

LCM = 66246 = 2 x 3 x 61 x 181

Step 4: Therefore, the least common multiple of 362 and 366 is 66246.