Least Common Multiple of 1036 and 1041

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1036 and 1041 the smallest integer that is 1078476 that is divisible by both numbers.

Least Common Multiple (LCM) of 1036 and 1041 is 1078476.

LCM(1036,1041) = 1078476

LCM of 1036 and 1041

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

LCM of:
and

Least Common Multiple of 1036 and 1041

LCM of 1036 and 1041 is 1078476

Least common multiple can be found by multiplying the highest exponent prime factors of 1036 and 1041. First we will calculate the prime factors of 1036 and 1041.

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

Prime Factorization of 1041


3 1041
347 347
1

Prime factors of 1041 are 3,347. Prime factorization of 1041 in exponential form is:

1041 = 31×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 1036 and 1041.

LCM(1036,1041) = 22×31×71×371×3471
LCM(1036,1041) = 1078476

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

Factors of 1041

List of positive integer factors of 1041 that divides 1041 without a remainder.

1, 3, 347, 1041

Least Common Multiple of 1036 and 1041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1036 and 1041, than apply into the LCM equation.

GCF(1036,1041) = 1
LCM(1036,1041) = ( 1036 × 1041) / 1
LCM(1036,1041) = 1078476 / 1
LCM(1036,1041) = 1078476

Properties of LCM 1036 and 1041

(i) The LCM of 1041 and 1036 is associative

LCM of 1036 and 1041 = LCM of 1041 and 1036

Related Least Common Multiples of 1036

Related Least Common Multiples of 1041

Frequently Asked Questions on LCM of 1036 and 1041

1. What is the LCM of 1036 and 1041?

Answer: LCM of 1036 and 1041 is 1078476.

2. 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.

3. What are the Factors of 1041?

Answer: Factors of 1041 are 1, 3, 347, 1041. There are 4 integers that are factors of 1041. The greatest factor of 1041 is 1041.

4. How to Find the LCM of 1036 and 1041?

Answer:

Least Common Multiple of 1036 and 1041 = 1078476

Step 1: Find the prime factorization of 1036

1036 = 2 x 2 x 7 x 37

Step 2: Find the prime factorization of 1041

1041 = 3 x 347

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

LCM = 1078476 = 2 x 2 x 3 x 7 x 37 x 347

Step 4: Therefore, the least common multiple of 1036 and 1041 is 1078476.