Least Common Multiple of 31318 and 31325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31318 and 31325 the smallest integer that is 140148050 that is divisible by both numbers.

Least Common Multiple (LCM) of 31318 and 31325 is 140148050.

LCM(31318,31325) = 140148050

LCM of 31318 and 31325

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

LCM of:
and

Least Common Multiple of 31318 and 31325

LCM of 31318 and 31325 is 140148050

Least common multiple can be found by multiplying the highest exponent prime factors of 31318 and 31325. First we will calculate the prime factors of 31318 and 31325.

Prime Factorization of 31318


2 31318
7 15659
2237 2237
1

Prime factors of 31318 are 2, 7,2237. Prime factorization of 31318 in exponential form is:

31318 = 21×71×22371

Prime Factorization of 31325


5 31325
5 6265
7 1253
179 179
1

Prime factors of 31325 are 5, 7,179. Prime factorization of 31325 in exponential form is:

31325 = 52×71×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 31318 and 31325.

LCM(31318,31325) = 21×52×71×1791×22371
LCM(31318,31325) = 140148050

Factors of 31318

List of positive integer factors of 31318 that divides 31318 without a remainder.

1, 2, 7, 14, 2237, 4474, 15659, 31318

Factors of 31325

List of positive integer factors of 31325 that divides 31325 without a remainder.

1, 5, 7, 25, 35, 175, 179, 895, 1253, 4475, 6265, 31325

Least Common Multiple of 31318 and 31325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31318 and 31325, than apply into the LCM equation.

GCF(31318,31325) = 7
LCM(31318,31325) = ( 31318 × 31325) / 7
LCM(31318,31325) = 981036350 / 7
LCM(31318,31325) = 140148050

Properties of LCM 31318 and 31325

(i) The LCM of 31325 and 31318 is associative

LCM of 31318 and 31325 = LCM of 31325 and 31318

Related Least Common Multiples of 31318

Related Least Common Multiples of 31325

Frequently Asked Questions on LCM of 31318 and 31325

1. What is the LCM of 31318 and 31325?

Answer: LCM of 31318 and 31325 is 140148050.

2. What are the Factors of 31318?

Answer: Factors of 31318 are 1, 2, 7, 14, 2237, 4474, 15659, 31318. There are 8 integers that are factors of 31318. The greatest factor of 31318 is 31318.

3. What are the Factors of 31325?

Answer: Factors of 31325 are 1, 5, 7, 25, 35, 175, 179, 895, 1253, 4475, 6265, 31325. There are 12 integers that are factors of 31325. The greatest factor of 31325 is 31325.

4. How to Find the LCM of 31318 and 31325?

Answer:

Least Common Multiple of 31318 and 31325 = 140148050

Step 1: Find the prime factorization of 31318

31318 = 2 x 7 x 2237

Step 2: Find the prime factorization of 31325

31325 = 5 x 5 x 7 x 179

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

LCM = 140148050 = 2 x 5 x 5 x 7 x 179 x 2237

Step 4: Therefore, the least common multiple of 31318 and 31325 is 140148050.