Least Common Multiple of 309402 and 309404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 309402 and 309404 the smallest integer that is 47865108204 that is divisible by both numbers.

Least Common Multiple (LCM) of 309402 and 309404 is 47865108204.

LCM(309402,309404) = 47865108204

LCM of 309402 and 309404

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

LCM of:
and

Least Common Multiple of 309402 and 309404

LCM of 309402 and 309404 is 47865108204

Least common multiple can be found by multiplying the highest exponent prime factors of 309402 and 309404. First we will calculate the prime factors of 309402 and 309404.

Prime Factorization of 309402


2 309402
3 154701
3 51567
17189 17189
1

Prime factors of 309402 are 2, 3,17189. Prime factorization of 309402 in exponential form is:

309402 = 21×32×171891

Prime Factorization of 309404


2 309404
2 154702
77351 77351
1

Prime factors of 309404 are 2,77351. Prime factorization of 309404 in exponential form is:

309404 = 22×773511

Now multiplying the highest exponent prime factors to calculate the LCM of 309402 and 309404.

LCM(309402,309404) = 22×32×171891×773511
LCM(309402,309404) = 47865108204

Factors of 309402

List of positive integer factors of 309402 that divides 309402 without a remainder.

1, 2, 3, 6, 9, 18, 17189, 34378, 51567, 103134, 154701, 309402

Factors of 309404

List of positive integer factors of 309404 that divides 309404 without a remainder.

1, 2, 4, 77351, 154702, 309404

Least Common Multiple of 309402 and 309404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 309402 and 309404, than apply into the LCM equation.

GCF(309402,309404) = 2
LCM(309402,309404) = ( 309402 × 309404) / 2
LCM(309402,309404) = 95730216408 / 2
LCM(309402,309404) = 47865108204

Properties of LCM 309402 and 309404

(i) The LCM of 309404 and 309402 is associative

LCM of 309402 and 309404 = LCM of 309404 and 309402

Related Least Common Multiples of 309402

Related Least Common Multiples of 309404

Frequently Asked Questions on LCM of 309402 and 309404

1. What is the LCM of 309402 and 309404?

Answer: LCM of 309402 and 309404 is 47865108204.

2. What are the Factors of 309402?

Answer: Factors of 309402 are 1, 2, 3, 6, 9, 18, 17189, 34378, 51567, 103134, 154701, 309402. There are 12 integers that are factors of 309402. The greatest factor of 309402 is 309402.

3. What are the Factors of 309404?

Answer: Factors of 309404 are 1, 2, 4, 77351, 154702, 309404. There are 6 integers that are factors of 309404. The greatest factor of 309404 is 309404.

4. How to Find the LCM of 309402 and 309404?

Answer:

Least Common Multiple of 309402 and 309404 = 47865108204

Step 1: Find the prime factorization of 309402

309402 = 2 x 3 x 3 x 17189

Step 2: Find the prime factorization of 309404

309404 = 2 x 2 x 77351

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

LCM = 47865108204 = 2 x 2 x 3 x 3 x 17189 x 77351

Step 4: Therefore, the least common multiple of 309402 and 309404 is 47865108204.