Least Common Multiple of 31426 and 31431

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

• Least Common Multiple of 31426 and 31431 by Prime method
• Least Common Multiple of 31426 and 31431 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 31426 and 31431. First we will calculate the prime factors of 31426 and 31431.

Prime Factorization of 31426

Prime factors of 31426 are 2, 19,827. Prime factorization of 31426 in exponential form is:

31426 = 2¹×19¹×827¹

Prime Factorization of 31431

Prime factors of 31431 are 3,10477. Prime factorization of 31431 in exponential form is:

31431 = 3¹×10477¹

Now multiplying the highest exponent prime factors to calculate the LCM of 31426 and 31431.

LCM(31426,31431) = 2¹×3¹×19¹×827¹×10477¹
LCM(31426,31431) = 987750606

Factors of 31426

List of positive integer factors of 31426 that divides 31426 without a remainder.

1, 2, 19, 38, 827, 1654, 15713, 31426

Factors of 31431

List of positive integer factors of 31431 that divides 31431 without a remainder.

1, 3, 10477, 31431

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31426 and 31431, than apply into the LCM equation.

GCF(31426,31431) = 1
LCM(31426,31431) = ( 31426 × 31431) / 1
LCM(31426,31431) = 987750606 / 1
LCM(31426,31431) = 987750606

(i) The LCM of 31431 and 31426 is associative

LCM of 31426 and 31431 = LCM of 31431 and 31426

1. What is the LCM of 31426 and 31431?

Answer: LCM of 31426 and 31431 is 987750606.

2. What are the Factors of 31426?

Answer: Factors of 31426 are 1, 2, 19, 38, 827, 1654, 15713, 31426. There are 8 integers that are factors of 31426. The greatest factor of 31426 is 31426.

3. What are the Factors of 31431?

Answer: Factors of 31431 are 1, 3, 10477, 31431. There are 4 integers that are factors of 31431. The greatest factor of 31431 is 31431.

4. How to Find the LCM of 31426 and 31431?

Answer:

Least Common Multiple of 31426 and 31431 = 987750606

Step 1: Find the prime factorization of 31426

31426 = 2 x 19 x 827

Step 2: Find the prime factorization of 31431

31431 = 3 x 10477

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

LCM = 987750606 = 2 x 3 x 19 x 827 x 10477

Step 4: Therefore, the least common multiple of 31426 and 31431 is 987750606.