Least Common Multiple of 308404 and 308412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 308404 and 308412 the smallest integer that is 23778873612 that is divisible by both numbers.

Least Common Multiple (LCM) of 308404 and 308412 is 23778873612.

LCM(308404,308412) = 23778873612

LCM of 308404 and 308412

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

LCM of:
and

Least Common Multiple of 308404 and 308412

LCM of 308404 and 308412 is 23778873612

Least common multiple can be found by multiplying the highest exponent prime factors of 308404 and 308412. First we will calculate the prime factors of 308404 and 308412.

Prime Factorization of 308404


2 308404
2 154202
77101 77101
1

Prime factors of 308404 are 2,77101. Prime factorization of 308404 in exponential form is:

308404 = 22×771011

Prime Factorization of 308412


2 308412
2 154206
3 77103
3 25701
13 8567
659 659
1

Prime factors of 308412 are 2, 3, 13,659. Prime factorization of 308412 in exponential form is:

308412 = 22×32×131×6591

Now multiplying the highest exponent prime factors to calculate the LCM of 308404 and 308412.

LCM(308404,308412) = 22×32×131×6591×771011
LCM(308404,308412) = 23778873612

Factors of 308404

List of positive integer factors of 308404 that divides 308404 without a remainder.

1, 2, 4, 77101, 154202, 308404

Factors of 308412

List of positive integer factors of 308412 that divides 308412 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468, 659, 1318, 1977, 2636, 3954, 5931, 7908, 8567, 11862, 17134, 23724, 25701, 34268, 51402, 77103, 102804, 154206, 308412

Least Common Multiple of 308404 and 308412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308404 and 308412, than apply into the LCM equation.

GCF(308404,308412) = 4
LCM(308404,308412) = ( 308404 × 308412) / 4
LCM(308404,308412) = 95115494448 / 4
LCM(308404,308412) = 23778873612

Properties of LCM 308404 and 308412

(i) The LCM of 308412 and 308404 is associative

LCM of 308404 and 308412 = LCM of 308412 and 308404

Related Least Common Multiples of 308404

Related Least Common Multiples of 308412

Frequently Asked Questions on LCM of 308404 and 308412

1. What is the LCM of 308404 and 308412?

Answer: LCM of 308404 and 308412 is 23778873612.

2. What are the Factors of 308404?

Answer: Factors of 308404 are 1, 2, 4, 77101, 154202, 308404. There are 6 integers that are factors of 308404. The greatest factor of 308404 is 308404.

3. What are the Factors of 308412?

Answer: Factors of 308412 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468, 659, 1318, 1977, 2636, 3954, 5931, 7908, 8567, 11862, 17134, 23724, 25701, 34268, 51402, 77103, 102804, 154206, 308412. There are 36 integers that are factors of 308412. The greatest factor of 308412 is 308412.

4. How to Find the LCM of 308404 and 308412?

Answer:

Least Common Multiple of 308404 and 308412 = 23778873612

Step 1: Find the prime factorization of 308404

308404 = 2 x 2 x 77101

Step 2: Find the prime factorization of 308412

308412 = 2 x 2 x 3 x 3 x 13 x 659

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

LCM = 23778873612 = 2 x 2 x 3 x 3 x 13 x 659 x 77101

Step 4: Therefore, the least common multiple of 308404 and 308412 is 23778873612.