Least Common Multiple of 31417 and 31422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31417 and 31422 the smallest integer that is 987184974 that is divisible by both numbers.

Least Common Multiple (LCM) of 31417 and 31422 is 987184974.

LCM(31417,31422) = 987184974

LCM of 31417 and 31422

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

LCM of:
and

Least Common Multiple of 31417 and 31422

LCM of 31417 and 31422 is 987184974

Least common multiple can be found by multiplying the highest exponent prime factors of 31417 and 31422. First we will calculate the prime factors of 31417 and 31422.

Prime Factorization of 31417


89 31417
353 353
1

Prime factors of 31417 are 89,353. Prime factorization of 31417 in exponential form is:

31417 = 891×3531

Prime Factorization of 31422


2 31422
3 15711
5237 5237
1

Prime factors of 31422 are 2, 3,5237. Prime factorization of 31422 in exponential form is:

31422 = 21×31×52371

Now multiplying the highest exponent prime factors to calculate the LCM of 31417 and 31422.

LCM(31417,31422) = 21×31×891×3531×52371
LCM(31417,31422) = 987184974

Factors of 31417

List of positive integer factors of 31417 that divides 31417 without a remainder.

1, 89, 353, 31417

Factors of 31422

List of positive integer factors of 31422 that divides 31422 without a remainder.

1, 2, 3, 6, 5237, 10474, 15711, 31422

Least Common Multiple of 31417 and 31422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31417 and 31422, than apply into the LCM equation.

GCF(31417,31422) = 1
LCM(31417,31422) = ( 31417 × 31422) / 1
LCM(31417,31422) = 987184974 / 1
LCM(31417,31422) = 987184974

Properties of LCM 31417 and 31422

(i) The LCM of 31422 and 31417 is associative

LCM of 31417 and 31422 = LCM of 31422 and 31417

Related Least Common Multiples of 31417

Related Least Common Multiples of 31422

Frequently Asked Questions on LCM of 31417 and 31422

1. What is the LCM of 31417 and 31422?

Answer: LCM of 31417 and 31422 is 987184974.

2. What are the Factors of 31417?

Answer: Factors of 31417 are 1, 89, 353, 31417. There are 4 integers that are factors of 31417. The greatest factor of 31417 is 31417.

3. What are the Factors of 31422?

Answer: Factors of 31422 are 1, 2, 3, 6, 5237, 10474, 15711, 31422. There are 8 integers that are factors of 31422. The greatest factor of 31422 is 31422.

4. How to Find the LCM of 31417 and 31422?

Answer:

Least Common Multiple of 31417 and 31422 = 987184974

Step 1: Find the prime factorization of 31417

31417 = 89 x 353

Step 2: Find the prime factorization of 31422

31422 = 2 x 3 x 5237

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

LCM = 987184974 = 2 x 3 x 89 x 353 x 5237

Step 4: Therefore, the least common multiple of 31417 and 31422 is 987184974.