Least Common Multiple of 308404 and 308406

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 308406 the smallest integer that is 47556822012 that is divisible by both numbers.

Least Common Multiple (LCM) of 308404 and 308406 is 47556822012.

LCM(308404,308406) = 47556822012

LCM of 308404 and 308406

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

LCM of:
and

Least Common Multiple of 308404 and 308406

LCM of 308404 and 308406 is 47556822012

Least common multiple can be found by multiplying the highest exponent prime factors of 308404 and 308406. First we will calculate the prime factors of 308404 and 308406.

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 308406


2 308406
3 154203
7 51401
7 7343
1049 1049
1

Prime factors of 308406 are 2, 3, 7,1049. Prime factorization of 308406 in exponential form is:

308406 = 21×31×72×10491

Now multiplying the highest exponent prime factors to calculate the LCM of 308404 and 308406.

LCM(308404,308406) = 22×31×72×10491×771011
LCM(308404,308406) = 47556822012

Factors of 308404

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

1, 2, 4, 77101, 154202, 308404

Factors of 308406

List of positive integer factors of 308406 that divides 308406 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 1049, 2098, 3147, 6294, 7343, 14686, 22029, 44058, 51401, 102802, 154203, 308406

Least Common Multiple of 308404 and 308406 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 308406, than apply into the LCM equation.

GCF(308404,308406) = 2
LCM(308404,308406) = ( 308404 × 308406) / 2
LCM(308404,308406) = 95113644024 / 2
LCM(308404,308406) = 47556822012

Properties of LCM 308404 and 308406

(i) The LCM of 308406 and 308404 is associative

LCM of 308404 and 308406 = LCM of 308406 and 308404

Related Least Common Multiples of 308404

Related Least Common Multiples of 308406

Frequently Asked Questions on LCM of 308404 and 308406

1. What is the LCM of 308404 and 308406?

Answer: LCM of 308404 and 308406 is 47556822012.

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 308406?

Answer: Factors of 308406 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 1049, 2098, 3147, 6294, 7343, 14686, 22029, 44058, 51401, 102802, 154203, 308406. There are 24 integers that are factors of 308406. The greatest factor of 308406 is 308406.

4. How to Find the LCM of 308404 and 308406?

Answer:

Least Common Multiple of 308404 and 308406 = 47556822012

Step 1: Find the prime factorization of 308404

308404 = 2 x 2 x 77101

Step 2: Find the prime factorization of 308406

308406 = 2 x 3 x 7 x 7 x 1049

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

LCM = 47556822012 = 2 x 2 x 3 x 7 x 7 x 1049 x 77101

Step 4: Therefore, the least common multiple of 308404 and 308406 is 47556822012.