Least Common Multiple of 31494 and 31499

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

• Least Common Multiple of 31494 and 31499 by Prime method
• Least Common Multiple of 31494 and 31499 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 31494 and 31499. First we will calculate the prime factors of 31494 and 31499.

Prime Factorization of 31494

Prime factors of 31494 are 2, 3, 29,181. Prime factorization of 31494 in exponential form is:

31494 = 2¹×3¹×29¹×181¹

Prime Factorization of 31499

Prime factors of 31499 are 13,2423. Prime factorization of 31499 in exponential form is:

31499 = 13¹×2423¹

Now multiplying the highest exponent prime factors to calculate the LCM of 31494 and 31499.

LCM(31494,31499) = 2¹×3¹×13¹×29¹×181¹×2423¹
LCM(31494,31499) = 992029506

Factors of 31494

List of positive integer factors of 31494 that divides 31494 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 181, 362, 543, 1086, 5249, 10498, 15747, 31494

Factors of 31499

List of positive integer factors of 31499 that divides 31499 without a remainder.

1, 13, 2423, 31499

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31494 and 31499, than apply into the LCM equation.

GCF(31494,31499) = 1
LCM(31494,31499) = ( 31494 × 31499) / 1
LCM(31494,31499) = 992029506 / 1
LCM(31494,31499) = 992029506

(i) The LCM of 31499 and 31494 is associative

LCM of 31494 and 31499 = LCM of 31499 and 31494

1. What is the LCM of 31494 and 31499?

Answer: LCM of 31494 and 31499 is 992029506.

2. What are the Factors of 31494?

Answer: Factors of 31494 are 1, 2, 3, 6, 29, 58, 87, 174, 181, 362, 543, 1086, 5249, 10498, 15747, 31494. There are 16 integers that are factors of 31494. The greatest factor of 31494 is 31494.

3. What are the Factors of 31499?

Answer: Factors of 31499 are 1, 13, 2423, 31499. There are 4 integers that are factors of 31499. The greatest factor of 31499 is 31499.

4. How to Find the LCM of 31494 and 31499?

Answer:

Least Common Multiple of 31494 and 31499 = 992029506

Step 1: Find the prime factorization of 31494

31494 = 2 x 3 x 29 x 181

Step 2: Find the prime factorization of 31499

31499 = 13 x 2423

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

LCM = 992029506 = 2 x 3 x 13 x 29 x 181 x 2423

Step 4: Therefore, the least common multiple of 31494 and 31499 is 992029506.