Least Common Multiple of 1031 and 1038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1031 and 1038 the smallest integer that is 1070178 that is divisible by both numbers.

Least Common Multiple (LCM) of 1031 and 1038 is 1070178.

LCM(1031,1038) = 1070178

LCM of 1031 and 1038

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

LCM of:
and

Least Common Multiple of 1031 and 1038

LCM of 1031 and 1038 is 1070178

Least common multiple can be found by multiplying the highest exponent prime factors of 1031 and 1038. First we will calculate the prime factors of 1031 and 1038.

Prime Factorization of 1031


1031 1031
1

Prime factors of 1031 are 1031. Prime factorization of 1031 in exponential form is:

1031 = 10311

Prime Factorization of 1038


2 1038
3 519
173 173
1

Prime factors of 1038 are 2, 3,173. Prime factorization of 1038 in exponential form is:

1038 = 21×31×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 1031 and 1038.

LCM(1031,1038) = 21×31×1731×10311
LCM(1031,1038) = 1070178

Factors of 1031

List of positive integer factors of 1031 that divides 1031 without a remainder.

1, 1031

Factors of 1038

List of positive integer factors of 1038 that divides 1038 without a remainder.

1, 2, 3, 6, 173, 346, 519, 1038

Least Common Multiple of 1031 and 1038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1031 and 1038, than apply into the LCM equation.

GCF(1031,1038) = 1
LCM(1031,1038) = ( 1031 × 1038) / 1
LCM(1031,1038) = 1070178 / 1
LCM(1031,1038) = 1070178

Properties of LCM 1031 and 1038

(i) The LCM of 1038 and 1031 is associative

LCM of 1031 and 1038 = LCM of 1038 and 1031

Related Least Common Multiples of 1031

Related Least Common Multiples of 1038

Frequently Asked Questions on LCM of 1031 and 1038

1. What is the LCM of 1031 and 1038?

Answer: LCM of 1031 and 1038 is 1070178.

2. What are the Factors of 1031?

Answer: Factors of 1031 are 1, 1031. There are 2 integers that are factors of 1031. The greatest factor of 1031 is 1031.

3. What are the Factors of 1038?

Answer: Factors of 1038 are 1, 2, 3, 6, 173, 346, 519, 1038. There are 8 integers that are factors of 1038. The greatest factor of 1038 is 1038.

4. How to Find the LCM of 1031 and 1038?

Answer:

Least Common Multiple of 1031 and 1038 = 1070178

Step 1: Find the prime factorization of 1031

1031 = 1031

Step 2: Find the prime factorization of 1038

1038 = 2 x 3 x 173

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

LCM = 1070178 = 2 x 3 x 173 x 1031

Step 4: Therefore, the least common multiple of 1031 and 1038 is 1070178.