Least Common Multiple of 31490 and 31494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31490 and 31494 the smallest integer that is 495873030 that is divisible by both numbers.

Least Common Multiple (LCM) of 31490 and 31494 is 495873030.

LCM(31490,31494) = 495873030

LCM of 31490 and 31494

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

LCM of:
and

Least Common Multiple of 31490 and 31494

LCM of 31490 and 31494 is 495873030

Least common multiple can be found by multiplying the highest exponent prime factors of 31490 and 31494. First we will calculate the prime factors of 31490 and 31494.

Prime Factorization of 31490


2 31490
5 15745
47 3149
67 67
1

Prime factors of 31490 are 2, 5, 47,67. Prime factorization of 31490 in exponential form is:

31490 = 21×51×471×671

Prime Factorization of 31494


2 31494
3 15747
29 5249
181 181
1

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 31490 and 31494.

LCM(31490,31494) = 21×31×51×291×471×671×1811
LCM(31490,31494) = 495873030

Factors of 31490

List of positive integer factors of 31490 that divides 31490 without a remainder.

1, 2, 5, 10, 47, 67, 94, 134, 235, 335, 470, 670, 3149, 6298, 15745, 31490

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

Least Common Multiple of 31490 and 31494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31490 and 31494, than apply into the LCM equation.

GCF(31490,31494) = 2
LCM(31490,31494) = ( 31490 × 31494) / 2
LCM(31490,31494) = 991746060 / 2
LCM(31490,31494) = 495873030

Properties of LCM 31490 and 31494

(i) The LCM of 31494 and 31490 is associative

LCM of 31490 and 31494 = LCM of 31494 and 31490

Related Least Common Multiples of 31490

Related Least Common Multiples of 31494

Frequently Asked Questions on LCM of 31490 and 31494

1. What is the LCM of 31490 and 31494?

Answer: LCM of 31490 and 31494 is 495873030.

2. What are the Factors of 31490?

Answer: Factors of 31490 are 1, 2, 5, 10, 47, 67, 94, 134, 235, 335, 470, 670, 3149, 6298, 15745, 31490. There are 16 integers that are factors of 31490. The greatest factor of 31490 is 31490.

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 31490 and 31494?

Answer:

Least Common Multiple of 31490 and 31494 = 495873030

Step 1: Find the prime factorization of 31490

31490 = 2 x 5 x 47 x 67

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 = 495873030 = 2 x 3 x 5 x 29 x 47 x 67 x 181

Step 4: Therefore, the least common multiple of 31490 and 31494 is 495873030.