Least Common Multiple of 313434 and 313438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313434 and 313438 the smallest integer that is 49121063046 that is divisible by both numbers.

Least Common Multiple (LCM) of 313434 and 313438 is 49121063046.

LCM(313434,313438) = 49121063046

LCM of 313434 and 313438

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

LCM of:
and

Least Common Multiple of 313434 and 313438

LCM of 313434 and 313438 is 49121063046

Least common multiple can be found by multiplying the highest exponent prime factors of 313434 and 313438. First we will calculate the prime factors of 313434 and 313438.

Prime Factorization of 313434


2 313434
3 156717
3 52239
11 17413
1583 1583
1

Prime factors of 313434 are 2, 3, 11,1583. Prime factorization of 313434 in exponential form is:

313434 = 21×32×111×15831

Prime Factorization of 313438


2 313438
156719 156719
1

Prime factors of 313438 are 2,156719. Prime factorization of 313438 in exponential form is:

313438 = 21×1567191

Now multiplying the highest exponent prime factors to calculate the LCM of 313434 and 313438.

LCM(313434,313438) = 21×32×111×15831×1567191
LCM(313434,313438) = 49121063046

Factors of 313434

List of positive integer factors of 313434 that divides 313434 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 1583, 3166, 4749, 9498, 14247, 17413, 28494, 34826, 52239, 104478, 156717, 313434

Factors of 313438

List of positive integer factors of 313438 that divides 313438 without a remainder.

1, 2, 156719, 313438

Least Common Multiple of 313434 and 313438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313434 and 313438, than apply into the LCM equation.

GCF(313434,313438) = 2
LCM(313434,313438) = ( 313434 × 313438) / 2
LCM(313434,313438) = 98242126092 / 2
LCM(313434,313438) = 49121063046

Properties of LCM 313434 and 313438

(i) The LCM of 313438 and 313434 is associative

LCM of 313434 and 313438 = LCM of 313438 and 313434

Related Least Common Multiples of 313434

Related Least Common Multiples of 313438

Frequently Asked Questions on LCM of 313434 and 313438

1. What is the LCM of 313434 and 313438?

Answer: LCM of 313434 and 313438 is 49121063046.

2. What are the Factors of 313434?

Answer: Factors of 313434 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 1583, 3166, 4749, 9498, 14247, 17413, 28494, 34826, 52239, 104478, 156717, 313434. There are 24 integers that are factors of 313434. The greatest factor of 313434 is 313434.

3. What are the Factors of 313438?

Answer: Factors of 313438 are 1, 2, 156719, 313438. There are 4 integers that are factors of 313438. The greatest factor of 313438 is 313438.

4. How to Find the LCM of 313434 and 313438?

Answer:

Least Common Multiple of 313434 and 313438 = 49121063046

Step 1: Find the prime factorization of 313434

313434 = 2 x 3 x 3 x 11 x 1583

Step 2: Find the prime factorization of 313438

313438 = 2 x 156719

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

LCM = 49121063046 = 2 x 3 x 3 x 11 x 1583 x 156719

Step 4: Therefore, the least common multiple of 313434 and 313438 is 49121063046.