Least Common Multiple of 1030 and 1031

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1030 and 1031 the smallest integer that is 1061930 that is divisible by both numbers.

Least Common Multiple (LCM) of 1030 and 1031 is 1061930.

LCM(1030,1031) = 1061930

LCM of 1030 and 1031

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

LCM of:
and

Least Common Multiple of 1030 and 1031

LCM of 1030 and 1031 is 1061930

Least common multiple can be found by multiplying the highest exponent prime factors of 1030 and 1031. First we will calculate the prime factors of 1030 and 1031.

Prime Factorization of 1030


2 1030
5 515
103 103
1

Prime factors of 1030 are 2, 5,103. Prime factorization of 1030 in exponential form is:

1030 = 21×51×1031

Prime Factorization of 1031


1031 1031
1

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

1031 = 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 1030 and 1031.

LCM(1030,1031) = 21×51×1031×10311
LCM(1030,1031) = 1061930

Factors of 1030

List of positive integer factors of 1030 that divides 1030 without a remainder.

1, 2, 5, 10, 103, 206, 515, 1030

Factors of 1031

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

1, 1031

Least Common Multiple of 1030 and 1031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1030 and 1031, than apply into the LCM equation.

GCF(1030,1031) = 1
LCM(1030,1031) = ( 1030 × 1031) / 1
LCM(1030,1031) = 1061930 / 1
LCM(1030,1031) = 1061930

Properties of LCM 1030 and 1031

(i) The LCM of 1031 and 1030 is associative

LCM of 1030 and 1031 = LCM of 1031 and 1030

Related Least Common Multiples of 1030

Related Least Common Multiples of 1031

Frequently Asked Questions on LCM of 1030 and 1031

1. What is the LCM of 1030 and 1031?

Answer: LCM of 1030 and 1031 is 1061930.

2. What are the Factors of 1030?

Answer: Factors of 1030 are 1, 2, 5, 10, 103, 206, 515, 1030. There are 8 integers that are factors of 1030. The greatest factor of 1030 is 1030.

3. 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.

4. How to Find the LCM of 1030 and 1031?

Answer:

Least Common Multiple of 1030 and 1031 = 1061930

Step 1: Find the prime factorization of 1030

1030 = 2 x 5 x 103

Step 2: Find the prime factorization of 1031

1031 = 1031

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

LCM = 1061930 = 2 x 5 x 103 x 1031

Step 4: Therefore, the least common multiple of 1030 and 1031 is 1061930.