Least Common Multiple of 368408 and 368412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 368408 and 368412 the smallest integer that is 33931482024 that is divisible by both numbers.

Least Common Multiple (LCM) of 368408 and 368412 is 33931482024.

LCM(368408,368412) = 33931482024

LCM of 368408 and 368412

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

LCM of:
and

Least Common Multiple of 368408 and 368412

LCM of 368408 and 368412 is 33931482024

Least common multiple can be found by multiplying the highest exponent prime factors of 368408 and 368412. First we will calculate the prime factors of 368408 and 368412.

Prime Factorization of 368408


2 368408
2 184204
2 92102
46051 46051
1

Prime factors of 368408 are 2,46051. Prime factorization of 368408 in exponential form is:

368408 = 23×460511

Prime Factorization of 368412


2 368412
2 184206
3 92103
11 30701
2791 2791
1

Prime factors of 368412 are 2, 3, 11,2791. Prime factorization of 368412 in exponential form is:

368412 = 22×31×111×27911

Now multiplying the highest exponent prime factors to calculate the LCM of 368408 and 368412.

LCM(368408,368412) = 23×31×111×27911×460511
LCM(368408,368412) = 33931482024

Factors of 368408

List of positive integer factors of 368408 that divides 368408 without a remainder.

1, 2, 4, 8, 46051, 92102, 184204, 368408

Factors of 368412

List of positive integer factors of 368412 that divides 368412 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 2791, 5582, 8373, 11164, 16746, 30701, 33492, 61402, 92103, 122804, 184206, 368412

Least Common Multiple of 368408 and 368412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 368408 and 368412, than apply into the LCM equation.

GCF(368408,368412) = 4
LCM(368408,368412) = ( 368408 × 368412) / 4
LCM(368408,368412) = 135725928096 / 4
LCM(368408,368412) = 33931482024

Properties of LCM 368408 and 368412

(i) The LCM of 368412 and 368408 is associative

LCM of 368408 and 368412 = LCM of 368412 and 368408

Related Least Common Multiples of 368408

Related Least Common Multiples of 368412

Frequently Asked Questions on LCM of 368408 and 368412

1. What is the LCM of 368408 and 368412?

Answer: LCM of 368408 and 368412 is 33931482024.

2. What are the Factors of 368408?

Answer: Factors of 368408 are 1, 2, 4, 8, 46051, 92102, 184204, 368408. There are 8 integers that are factors of 368408. The greatest factor of 368408 is 368408.

3. What are the Factors of 368412?

Answer: Factors of 368412 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 2791, 5582, 8373, 11164, 16746, 30701, 33492, 61402, 92103, 122804, 184206, 368412. There are 24 integers that are factors of 368412. The greatest factor of 368412 is 368412.

4. How to Find the LCM of 368408 and 368412?

Answer:

Least Common Multiple of 368408 and 368412 = 33931482024

Step 1: Find the prime factorization of 368408

368408 = 2 x 2 x 2 x 46051

Step 2: Find the prime factorization of 368412

368412 = 2 x 2 x 3 x 11 x 2791

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

LCM = 33931482024 = 2 x 2 x 2 x 3 x 11 x 2791 x 46051

Step 4: Therefore, the least common multiple of 368408 and 368412 is 33931482024.