Least Common Multiple of 31438 and 31442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31438 and 31442 the smallest integer that is 494236798 that is divisible by both numbers.

Least Common Multiple (LCM) of 31438 and 31442 is 494236798.

LCM(31438,31442) = 494236798

LCM of 31438 and 31442

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

LCM of:
and

Least Common Multiple of 31438 and 31442

LCM of 31438 and 31442 is 494236798

Least common multiple can be found by multiplying the highest exponent prime factors of 31438 and 31442. First we will calculate the prime factors of 31438 and 31442.

Prime Factorization of 31438


2 31438
11 15719
1429 1429
1

Prime factors of 31438 are 2, 11,1429. Prime factorization of 31438 in exponential form is:

31438 = 21×111×14291

Prime Factorization of 31442


2 31442
79 15721
199 199
1

Prime factors of 31442 are 2, 79,199. Prime factorization of 31442 in exponential form is:

31442 = 21×791×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 31438 and 31442.

LCM(31438,31442) = 21×111×791×1991×14291
LCM(31438,31442) = 494236798

Factors of 31438

List of positive integer factors of 31438 that divides 31438 without a remainder.

1, 2, 11, 22, 1429, 2858, 15719, 31438

Factors of 31442

List of positive integer factors of 31442 that divides 31442 without a remainder.

1, 2, 79, 158, 199, 398, 15721, 31442

Least Common Multiple of 31438 and 31442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31438 and 31442, than apply into the LCM equation.

GCF(31438,31442) = 2
LCM(31438,31442) = ( 31438 × 31442) / 2
LCM(31438,31442) = 988473596 / 2
LCM(31438,31442) = 494236798

Properties of LCM 31438 and 31442

(i) The LCM of 31442 and 31438 is associative

LCM of 31438 and 31442 = LCM of 31442 and 31438

Related Least Common Multiples of 31438

Related Least Common Multiples of 31442

Frequently Asked Questions on LCM of 31438 and 31442

1. What is the LCM of 31438 and 31442?

Answer: LCM of 31438 and 31442 is 494236798.

2. What are the Factors of 31438?

Answer: Factors of 31438 are 1, 2, 11, 22, 1429, 2858, 15719, 31438. There are 8 integers that are factors of 31438. The greatest factor of 31438 is 31438.

3. What are the Factors of 31442?

Answer: Factors of 31442 are 1, 2, 79, 158, 199, 398, 15721, 31442. There are 8 integers that are factors of 31442. The greatest factor of 31442 is 31442.

4. How to Find the LCM of 31438 and 31442?

Answer:

Least Common Multiple of 31438 and 31442 = 494236798

Step 1: Find the prime factorization of 31438

31438 = 2 x 11 x 1429

Step 2: Find the prime factorization of 31442

31442 = 2 x 79 x 199

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

LCM = 494236798 = 2 x 11 x 79 x 199 x 1429

Step 4: Therefore, the least common multiple of 31438 and 31442 is 494236798.