Least Common Multiple of 31489 and 31494

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

• Least Common Multiple of 31489 and 31494 by Prime method
• Least Common Multiple of 31489 and 31494 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 31489 and 31494. First we will calculate the prime factors of 31489 and 31494.

Prime Factorization of 31489

Prime factors of 31489 are 31489. Prime factorization of 31489 in exponential form is:

31489 = 31489¹

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

Now multiplying the highest exponent prime factors to calculate the LCM of 31489 and 31494.

LCM(31489,31494) = 2¹×3¹×29¹×181¹×31489¹
LCM(31489,31494) = 991714566

Factors of 31489

List of positive integer factors of 31489 that divides 31489 without a remainder.

1, 31489

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31489 and 31494, than apply into the LCM equation.

GCF(31489,31494) = 1
LCM(31489,31494) = ( 31489 × 31494) / 1
LCM(31489,31494) = 991714566 / 1
LCM(31489,31494) = 991714566

(i) The LCM of 31494 and 31489 is associative

LCM of 31489 and 31494 = LCM of 31494 and 31489

1. What is the LCM of 31489 and 31494?

Answer: LCM of 31489 and 31494 is 991714566.

2. What are the Factors of 31489?

Answer: Factors of 31489 are 1, 31489. There are 2 integers that are factors of 31489. The greatest factor of 31489 is 31489.

3. 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.

4. How to Find the LCM of 31489 and 31494?

Answer:

Least Common Multiple of 31489 and 31494 = 991714566

Step 1: Find the prime factorization of 31489

31489 = 31489

Step 2: Find the prime factorization of 31494

31494 = 2 x 3 x 29 x 181

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

LCM = 991714566 = 2 x 3 x 29 x 181 x 31489

Step 4: Therefore, the least common multiple of 31489 and 31494 is 991714566.