Least Common Multiple of 31414 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 31414 and 31422 the smallest integer that is 493545354 that is divisible by both numbers.

Least Common Multiple (LCM) of 31414 and 31422 is 493545354.

LCM(31414,31422) = 493545354

LCM of 31414 and 31422

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

LCM of:
and

Least Common Multiple of 31414 and 31422

LCM of 31414 and 31422 is 493545354

Least common multiple can be found by multiplying the highest exponent prime factors of 31414 and 31422. First we will calculate the prime factors of 31414 and 31422.

Prime Factorization of 31414


2 31414
113 15707
139 139
1

Prime factors of 31414 are 2, 113,139. Prime factorization of 31414 in exponential form is:

31414 = 21×1131×1391

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 31414 and 31422.

LCM(31414,31422) = 21×31×1131×1391×52371
LCM(31414,31422) = 493545354

Factors of 31414

List of positive integer factors of 31414 that divides 31414 without a remainder.

1, 2, 113, 139, 226, 278, 15707, 31414

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 31414 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 31414 and 31422, than apply into the LCM equation.

GCF(31414,31422) = 2
LCM(31414,31422) = ( 31414 × 31422) / 2
LCM(31414,31422) = 987090708 / 2
LCM(31414,31422) = 493545354

Properties of LCM 31414 and 31422

(i) The LCM of 31422 and 31414 is associative

LCM of 31414 and 31422 = LCM of 31422 and 31414

Related Least Common Multiples of 31414

Related Least Common Multiples of 31422

Frequently Asked Questions on LCM of 31414 and 31422

1. What is the LCM of 31414 and 31422?

Answer: LCM of 31414 and 31422 is 493545354.

2. What are the Factors of 31414?

Answer: Factors of 31414 are 1, 2, 113, 139, 226, 278, 15707, 31414. There are 8 integers that are factors of 31414. The greatest factor of 31414 is 31414.

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 31414 and 31422?

Answer:

Least Common Multiple of 31414 and 31422 = 493545354

Step 1: Find the prime factorization of 31414

31414 = 2 x 113 x 139

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 = 493545354 = 2 x 3 x 113 x 139 x 5237

Step 4: Therefore, the least common multiple of 31414 and 31422 is 493545354.