Least Common Multiple of 31445 and 31449

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

• Least Common Multiple of 31445 and 31449 by Prime method
• Least Common Multiple of 31445 and 31449 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 31445 and 31449. First we will calculate the prime factors of 31445 and 31449.

Prime Factorization of 31445

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

31445 = 5¹×19¹×331¹

Prime Factorization of 31449

Prime factors of 31449 are 3, 11,953. Prime factorization of 31449 in exponential form is:

31449 = 3¹×11¹×953¹

Now multiplying the highest exponent prime factors to calculate the LCM of 31445 and 31449.

LCM(31445,31449) = 3¹×5¹×11¹×19¹×331¹×953¹
LCM(31445,31449) = 988913805

Factors of 31445

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

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

Factors of 31449

List of positive integer factors of 31449 that divides 31449 without a remainder.

1, 3, 11, 33, 953, 2859, 10483, 31449

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31445 and 31449, than apply into the LCM equation.

GCF(31445,31449) = 1
LCM(31445,31449) = ( 31445 × 31449) / 1
LCM(31445,31449) = 988913805 / 1
LCM(31445,31449) = 988913805

(i) The LCM of 31449 and 31445 is associative

LCM of 31445 and 31449 = LCM of 31449 and 31445

1. What is the LCM of 31445 and 31449?

Answer: LCM of 31445 and 31449 is 988913805.

2. 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.

3. What are the Factors of 31449?

Answer: Factors of 31449 are 1, 3, 11, 33, 953, 2859, 10483, 31449. There are 8 integers that are factors of 31449. The greatest factor of 31449 is 31449.

4. How to Find the LCM of 31445 and 31449?

Answer:

Least Common Multiple of 31445 and 31449 = 988913805

Step 1: Find the prime factorization of 31445

31445 = 5 x 19 x 331

Step 2: Find the prime factorization of 31449

31449 = 3 x 11 x 953

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

LCM = 988913805 = 3 x 5 x 11 x 19 x 331 x 953

Step 4: Therefore, the least common multiple of 31445 and 31449 is 988913805.