Least Common Multiple of 1029 and 1036

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 1036 the smallest integer that is 152292 that is divisible by both numbers.

Least Common Multiple (LCM) of 1029 and 1036 is 152292.

LCM(1029,1036) = 152292

LCM of 1029 and 1036

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

LCM of:
and

Least Common Multiple of 1029 and 1036

LCM of 1029 and 1036 is 152292

Least common multiple can be found by multiplying the highest exponent prime factors of 1029 and 1036. First we will calculate the prime factors of 1029 and 1036.

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 1036


2 1036
2 518
7 259
37 37
1

Prime factors of 1036 are 2, 7,37. Prime factorization of 1036 in exponential form is:

1036 = 22×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1029 and 1036.

LCM(1029,1036) = 22×31×73×371
LCM(1029,1036) = 152292

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 1036

List of positive integer factors of 1036 that divides 1036 without a remainder.

1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036

Least Common Multiple of 1029 and 1036 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 1036, than apply into the LCM equation.

GCF(1029,1036) = 7
LCM(1029,1036) = ( 1029 × 1036) / 7
LCM(1029,1036) = 1066044 / 7
LCM(1029,1036) = 152292

Properties of LCM 1029 and 1036

(i) The LCM of 1036 and 1029 is associative

LCM of 1029 and 1036 = LCM of 1036 and 1029

Related Least Common Multiples of 1029

Related Least Common Multiples of 1036

Frequently Asked Questions on LCM of 1029 and 1036

1. What is the LCM of 1029 and 1036?

Answer: LCM of 1029 and 1036 is 152292.

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 1036?

Answer: Factors of 1036 are 1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036. There are 12 integers that are factors of 1036. The greatest factor of 1036 is 1036.

4. How to Find the LCM of 1029 and 1036?

Answer:

Least Common Multiple of 1029 and 1036 = 152292

Step 1: Find the prime factorization of 1029

1029 = 3 x 7 x 7 x 7

Step 2: Find the prime factorization of 1036

1036 = 2 x 2 x 7 x 37

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

LCM = 152292 = 2 x 2 x 3 x 7 x 7 x 7 x 37

Step 4: Therefore, the least common multiple of 1029 and 1036 is 152292.