Least Common Multiple of 31463 and 31470

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

• Least Common Multiple of 31463 and 31470 by Prime method
• Least Common Multiple of 31463 and 31470 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 31463 and 31470. First we will calculate the prime factors of 31463 and 31470.

Prime Factorization of 31463

Prime factors of 31463 are 73,431. Prime factorization of 31463 in exponential form is:

31463 = 73¹×431¹

Prime Factorization of 31470

Prime factors of 31470 are 2, 3, 5,1049. Prime factorization of 31470 in exponential form is:

31470 = 2¹×3¹×5¹×1049¹

Now multiplying the highest exponent prime factors to calculate the LCM of 31463 and 31470.

LCM(31463,31470) = 2¹×3¹×5¹×73¹×431¹×1049¹
LCM(31463,31470) = 990140610

Factors of 31463

List of positive integer factors of 31463 that divides 31463 without a remainder.

1, 73, 431, 31463

Factors of 31470

List of positive integer factors of 31470 that divides 31470 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1049, 2098, 3147, 5245, 6294, 10490, 15735, 31470

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31463 and 31470, than apply into the LCM equation.

GCF(31463,31470) = 1
LCM(31463,31470) = ( 31463 × 31470) / 1
LCM(31463,31470) = 990140610 / 1
LCM(31463,31470) = 990140610

(i) The LCM of 31470 and 31463 is associative

LCM of 31463 and 31470 = LCM of 31470 and 31463

1. What is the LCM of 31463 and 31470?

Answer: LCM of 31463 and 31470 is 990140610.

2. What are the Factors of 31463?

Answer: Factors of 31463 are 1, 73, 431, 31463. There are 4 integers that are factors of 31463. The greatest factor of 31463 is 31463.

3. What are the Factors of 31470?

Answer: Factors of 31470 are 1, 2, 3, 5, 6, 10, 15, 30, 1049, 2098, 3147, 5245, 6294, 10490, 15735, 31470. There are 16 integers that are factors of 31470. The greatest factor of 31470 is 31470.

4. How to Find the LCM of 31463 and 31470?

Answer:

Least Common Multiple of 31463 and 31470 = 990140610

Step 1: Find the prime factorization of 31463

31463 = 73 x 431

Step 2: Find the prime factorization of 31470

31470 = 2 x 3 x 5 x 1049

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

LCM = 990140610 = 2 x 3 x 5 x 73 x 431 x 1049

Step 4: Therefore, the least common multiple of 31463 and 31470 is 990140610.