Least Common Multiple of 1029 and 1030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1029 and 1030 the smallest integer that is 1059870 that is divisible by both numbers.

Least Common Multiple (LCM) of 1029 and 1030 is 1059870.

LCM(1029,1030) = 1059870

LCM of 1029 and 1030

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

LCM of:
and

Least Common Multiple of 1029 and 1030

LCM of 1029 and 1030 is 1059870

Least common multiple can be found by multiplying the highest exponent prime factors of 1029 and 1030. First we will calculate the prime factors of 1029 and 1030.

Prime Factorization of 1029


3 1029
7 343
7 49
7 7
1

Prime factors of 1029 are 3,7. Prime factorization of 1029 in exponential form is:

1029 = 31×73

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1029 and 1030.

LCM(1029,1030) = 21×31×51×73×1031
LCM(1029,1030) = 1059870

Factors of 1029

List of positive integer factors of 1029 that divides 1029 without a remainder.

1, 3, 7, 21, 49, 147, 343, 1029

Factors of 1030

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

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

Least Common Multiple of 1029 and 1030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1029 and 1030, than apply into the LCM equation.

GCF(1029,1030) = 1
LCM(1029,1030) = ( 1029 × 1030) / 1
LCM(1029,1030) = 1059870 / 1
LCM(1029,1030) = 1059870

Properties of LCM 1029 and 1030

(i) The LCM of 1030 and 1029 is associative

LCM of 1029 and 1030 = LCM of 1030 and 1029

Related Least Common Multiples of 1029

Related Least Common Multiples of 1030

Frequently Asked Questions on LCM of 1029 and 1030

1. What is the LCM of 1029 and 1030?

Answer: LCM of 1029 and 1030 is 1059870.

2. What are the Factors of 1029?

Answer: Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029. There are 8 integers that are factors of 1029. The greatest factor of 1029 is 1029.

3. 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.

4. How to Find the LCM of 1029 and 1030?

Answer:

Least Common Multiple of 1029 and 1030 = 1059870

Step 1: Find the prime factorization of 1029

1029 = 3 x 7 x 7 x 7

Step 2: Find the prime factorization of 1030

1030 = 2 x 5 x 103

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

LCM = 1059870 = 2 x 3 x 5 x 7 x 7 x 7 x 103

Step 4: Therefore, the least common multiple of 1029 and 1030 is 1059870.