Least Common Multiple of 6362 and 6366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6362 and 6366 the smallest integer that is 20250246 that is divisible by both numbers.

Least Common Multiple (LCM) of 6362 and 6366 is 20250246.

LCM(6362,6366) = 20250246

LCM of 6362 and 6366

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

LCM of:
and

Least Common Multiple of 6362 and 6366

LCM of 6362 and 6366 is 20250246

Least common multiple can be found by multiplying the highest exponent prime factors of 6362 and 6366. First we will calculate the prime factors of 6362 and 6366.

Prime Factorization of 6362


2 6362
3181 3181
1

Prime factors of 6362 are 2,3181. Prime factorization of 6362 in exponential form is:

6362 = 21×31811

Prime Factorization of 6366


2 6366
3 3183
1061 1061
1

Prime factors of 6366 are 2, 3,1061. Prime factorization of 6366 in exponential form is:

6366 = 21×31×10611

Now multiplying the highest exponent prime factors to calculate the LCM of 6362 and 6366.

LCM(6362,6366) = 21×31×10611×31811
LCM(6362,6366) = 20250246

Factors of 6362

List of positive integer factors of 6362 that divides 6362 without a remainder.

1, 2, 3181, 6362

Factors of 6366

List of positive integer factors of 6366 that divides 6366 without a remainder.

1, 2, 3, 6, 1061, 2122, 3183, 6366

Least Common Multiple of 6362 and 6366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6362 and 6366, than apply into the LCM equation.

GCF(6362,6366) = 2
LCM(6362,6366) = ( 6362 × 6366) / 2
LCM(6362,6366) = 40500492 / 2
LCM(6362,6366) = 20250246

Properties of LCM 6362 and 6366

(i) The LCM of 6366 and 6362 is associative

LCM of 6362 and 6366 = LCM of 6366 and 6362

Related Least Common Multiples of 6362

Related Least Common Multiples of 6366

Frequently Asked Questions on LCM of 6362 and 6366

1. What is the LCM of 6362 and 6366?

Answer: LCM of 6362 and 6366 is 20250246.

2. What are the Factors of 6362?

Answer: Factors of 6362 are 1, 2, 3181, 6362. There are 4 integers that are factors of 6362. The greatest factor of 6362 is 6362.

3. What are the Factors of 6366?

Answer: Factors of 6366 are 1, 2, 3, 6, 1061, 2122, 3183, 6366. There are 8 integers that are factors of 6366. The greatest factor of 6366 is 6366.

4. How to Find the LCM of 6362 and 6366?

Answer:

Least Common Multiple of 6362 and 6366 = 20250246

Step 1: Find the prime factorization of 6362

6362 = 2 x 3181

Step 2: Find the prime factorization of 6366

6366 = 2 x 3 x 1061

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

LCM = 20250246 = 2 x 3 x 1061 x 3181

Step 4: Therefore, the least common multiple of 6362 and 6366 is 20250246.