Least Common Multiple of 313402 and 313406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313402 and 313406 the smallest integer that is 49111033606 that is divisible by both numbers.

Least Common Multiple (LCM) of 313402 and 313406 is 49111033606.

LCM(313402,313406) = 49111033606

LCM of 313402 and 313406

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

LCM of:
and

Least Common Multiple of 313402 and 313406

LCM of 313402 and 313406 is 49111033606

Least common multiple can be found by multiplying the highest exponent prime factors of 313402 and 313406. First we will calculate the prime factors of 313402 and 313406.

Prime Factorization of 313402


2 313402
349 156701
449 449
1

Prime factors of 313402 are 2, 349,449. Prime factorization of 313402 in exponential form is:

313402 = 21×3491×4491

Prime Factorization of 313406


2 313406
156703 156703
1

Prime factors of 313406 are 2,156703. Prime factorization of 313406 in exponential form is:

313406 = 21×1567031

Now multiplying the highest exponent prime factors to calculate the LCM of 313402 and 313406.

LCM(313402,313406) = 21×3491×4491×1567031
LCM(313402,313406) = 49111033606

Factors of 313402

List of positive integer factors of 313402 that divides 313402 without a remainder.

1, 2, 349, 449, 698, 898, 156701, 313402

Factors of 313406

List of positive integer factors of 313406 that divides 313406 without a remainder.

1, 2, 156703, 313406

Least Common Multiple of 313402 and 313406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313402 and 313406, than apply into the LCM equation.

GCF(313402,313406) = 2
LCM(313402,313406) = ( 313402 × 313406) / 2
LCM(313402,313406) = 98222067212 / 2
LCM(313402,313406) = 49111033606

Properties of LCM 313402 and 313406

(i) The LCM of 313406 and 313402 is associative

LCM of 313402 and 313406 = LCM of 313406 and 313402

Related Least Common Multiples of 313402

Related Least Common Multiples of 313406

Frequently Asked Questions on LCM of 313402 and 313406

1. What is the LCM of 313402 and 313406?

Answer: LCM of 313402 and 313406 is 49111033606.

2. What are the Factors of 313402?

Answer: Factors of 313402 are 1, 2, 349, 449, 698, 898, 156701, 313402. There are 8 integers that are factors of 313402. The greatest factor of 313402 is 313402.

3. What are the Factors of 313406?

Answer: Factors of 313406 are 1, 2, 156703, 313406. There are 4 integers that are factors of 313406. The greatest factor of 313406 is 313406.

4. How to Find the LCM of 313402 and 313406?

Answer:

Least Common Multiple of 313402 and 313406 = 49111033606

Step 1: Find the prime factorization of 313402

313402 = 2 x 349 x 449

Step 2: Find the prime factorization of 313406

313406 = 2 x 156703

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

LCM = 49111033606 = 2 x 349 x 449 x 156703

Step 4: Therefore, the least common multiple of 313402 and 313406 is 49111033606.