Least Common Multiple of 31438 and 31445

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

• Least Common Multiple of 31438 and 31445 by Prime method
• Least Common Multiple of 31438 and 31445 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 31438 and 31445. First we will calculate the prime factors of 31438 and 31445.

Prime Factorization of 31438

Prime factors of 31438 are 2, 11,1429. Prime factorization of 31438 in exponential form is:

31438 = 2¹×11¹×1429¹

Prime Factorization of 31445

Prime factors of 31445 are 5, 19,331. Prime factorization of 31445 in exponential form is:

31445 = 5¹×19¹×331¹

Now multiplying the highest exponent prime factors to calculate the LCM of 31438 and 31445.

LCM(31438,31445) = 2¹×5¹×11¹×19¹×331¹×1429¹
LCM(31438,31445) = 988567910

Factors of 31438

List of positive integer factors of 31438 that divides 31438 without a remainder.

1, 2, 11, 22, 1429, 2858, 15719, 31438

Factors of 31445

List of positive integer factors of 31445 that divides 31445 without a remainder.

1, 5, 19, 95, 331, 1655, 6289, 31445

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31438 and 31445, than apply into the LCM equation.

GCF(31438,31445) = 1
LCM(31438,31445) = ( 31438 × 31445) / 1
LCM(31438,31445) = 988567910 / 1
LCM(31438,31445) = 988567910

(i) The LCM of 31445 and 31438 is associative

LCM of 31438 and 31445 = LCM of 31445 and 31438

1. What is the LCM of 31438 and 31445?

Answer: LCM of 31438 and 31445 is 988567910.

2. What are the Factors of 31438?

Answer: Factors of 31438 are 1, 2, 11, 22, 1429, 2858, 15719, 31438. There are 8 integers that are factors of 31438. The greatest factor of 31438 is 31438.

3. What are the Factors of 31445?

Answer: Factors of 31445 are 1, 5, 19, 95, 331, 1655, 6289, 31445. There are 8 integers that are factors of 31445. The greatest factor of 31445 is 31445.

4. How to Find the LCM of 31438 and 31445?

Answer:

Least Common Multiple of 31438 and 31445 = 988567910

Step 1: Find the prime factorization of 31438

31438 = 2 x 11 x 1429

Step 2: Find the prime factorization of 31445

31445 = 5 x 19 x 331

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

LCM = 988567910 = 2 x 5 x 11 x 19 x 331 x 1429

Step 4: Therefore, the least common multiple of 31438 and 31445 is 988567910.