Least Common Multiple of 31038 and 31042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31038 and 31042 the smallest integer that is 481740798 that is divisible by both numbers.

Least Common Multiple (LCM) of 31038 and 31042 is 481740798.

LCM(31038,31042) = 481740798

LCM of 31038 and 31042

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

LCM of:
and

Least Common Multiple of 31038 and 31042

LCM of 31038 and 31042 is 481740798

Least common multiple can be found by multiplying the highest exponent prime factors of 31038 and 31042. First we will calculate the prime factors of 31038 and 31042.

Prime Factorization of 31038


2 31038
3 15519
7 5173
739 739
1

Prime factors of 31038 are 2, 3, 7,739. Prime factorization of 31038 in exponential form is:

31038 = 21×31×71×7391

Prime Factorization of 31042


2 31042
11 15521
17 1411
83 83
1

Prime factors of 31042 are 2, 11, 17,83. Prime factorization of 31042 in exponential form is:

31042 = 21×111×171×831

Now multiplying the highest exponent prime factors to calculate the LCM of 31038 and 31042.

LCM(31038,31042) = 21×31×71×111×171×831×7391
LCM(31038,31042) = 481740798

Factors of 31038

List of positive integer factors of 31038 that divides 31038 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 739, 1478, 2217, 4434, 5173, 10346, 15519, 31038

Factors of 31042

List of positive integer factors of 31042 that divides 31042 without a remainder.

1, 2, 11, 17, 22, 34, 83, 166, 187, 374, 913, 1411, 1826, 2822, 15521, 31042

Least Common Multiple of 31038 and 31042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31038 and 31042, than apply into the LCM equation.

GCF(31038,31042) = 2
LCM(31038,31042) = ( 31038 × 31042) / 2
LCM(31038,31042) = 963481596 / 2
LCM(31038,31042) = 481740798

Properties of LCM 31038 and 31042

(i) The LCM of 31042 and 31038 is associative

LCM of 31038 and 31042 = LCM of 31042 and 31038

Related Least Common Multiples of 31038

Related Least Common Multiples of 31042

Frequently Asked Questions on LCM of 31038 and 31042

1. What is the LCM of 31038 and 31042?

Answer: LCM of 31038 and 31042 is 481740798.

2. What are the Factors of 31038?

Answer: Factors of 31038 are 1, 2, 3, 6, 7, 14, 21, 42, 739, 1478, 2217, 4434, 5173, 10346, 15519, 31038. There are 16 integers that are factors of 31038. The greatest factor of 31038 is 31038.

3. What are the Factors of 31042?

Answer: Factors of 31042 are 1, 2, 11, 17, 22, 34, 83, 166, 187, 374, 913, 1411, 1826, 2822, 15521, 31042. There are 16 integers that are factors of 31042. The greatest factor of 31042 is 31042.

4. How to Find the LCM of 31038 and 31042?

Answer:

Least Common Multiple of 31038 and 31042 = 481740798

Step 1: Find the prime factorization of 31038

31038 = 2 x 3 x 7 x 739

Step 2: Find the prime factorization of 31042

31042 = 2 x 11 x 17 x 83

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

LCM = 481740798 = 2 x 3 x 7 x 11 x 17 x 83 x 739

Step 4: Therefore, the least common multiple of 31038 and 31042 is 481740798.