Least Common Multiple of 1035 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 1035 and 1041 the smallest integer that is 359145 that is divisible by both numbers.

Least Common Multiple (LCM) of 1035 and 1041 is 359145.

LCM(1035,1041) = 359145

LCM of 1035 and 1041

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

LCM of:
and

Least Common Multiple of 1035 and 1041

LCM of 1035 and 1041 is 359145

Least common multiple can be found by multiplying the highest exponent prime factors of 1035 and 1041. First we will calculate the prime factors of 1035 and 1041.

Prime Factorization of 1035


3 1035
3 345
5 115
23 23
1

Prime factors of 1035 are 3, 5,23. Prime factorization of 1035 in exponential form is:

1035 = 32×51×231

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 1035 and 1041.

LCM(1035,1041) = 32×51×231×3471
LCM(1035,1041) = 359145

Factors of 1035

List of positive integer factors of 1035 that divides 1035 without a remainder.

1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035

Factors of 1041

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

1, 3, 347, 1041

Least Common Multiple of 1035 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 1035 and 1041, than apply into the LCM equation.

GCF(1035,1041) = 3
LCM(1035,1041) = ( 1035 × 1041) / 3
LCM(1035,1041) = 1077435 / 3
LCM(1035,1041) = 359145

Properties of LCM 1035 and 1041

(i) The LCM of 1041 and 1035 is associative

LCM of 1035 and 1041 = LCM of 1041 and 1035

Related Least Common Multiples of 1035

Related Least Common Multiples of 1041

Frequently Asked Questions on LCM of 1035 and 1041

1. What is the LCM of 1035 and 1041?

Answer: LCM of 1035 and 1041 is 359145.

2. What are the Factors of 1035?

Answer: Factors of 1035 are 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035. There are 12 integers that are factors of 1035. The greatest factor of 1035 is 1035.

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 1035 and 1041?

Answer:

Least Common Multiple of 1035 and 1041 = 359145

Step 1: Find the prime factorization of 1035

1035 = 3 x 3 x 5 x 23

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 = 359145 = 3 x 3 x 5 x 23 x 347

Step 4: Therefore, the least common multiple of 1035 and 1041 is 359145.