Least Common Multiple of 1041 and 1049

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1041 and 1049 the smallest integer that is 1092009 that is divisible by both numbers.

Least Common Multiple (LCM) of 1041 and 1049 is 1092009.

LCM(1041,1049) = 1092009

LCM of 1041 and 1049

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

LCM of:
and

Least Common Multiple of 1041 and 1049

LCM of 1041 and 1049 is 1092009

Least common multiple can be found by multiplying the highest exponent prime factors of 1041 and 1049. First we will calculate the prime factors of 1041 and 1049.

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

Prime Factorization of 1049


1049 1049
1

Prime factors of 1049 are 1049. Prime factorization of 1049 in exponential form is:

1049 = 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 1041 and 1049.

LCM(1041,1049) = 31×3471×10491
LCM(1041,1049) = 1092009

Factors of 1041

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

1, 3, 347, 1041

Factors of 1049

List of positive integer factors of 1049 that divides 1049 without a remainder.

1, 1049

Least Common Multiple of 1041 and 1049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1041 and 1049, than apply into the LCM equation.

GCF(1041,1049) = 1
LCM(1041,1049) = ( 1041 × 1049) / 1
LCM(1041,1049) = 1092009 / 1
LCM(1041,1049) = 1092009

Properties of LCM 1041 and 1049

(i) The LCM of 1049 and 1041 is associative

LCM of 1041 and 1049 = LCM of 1049 and 1041

Related Least Common Multiples of 1041

Related Least Common Multiples of 1049

Frequently Asked Questions on LCM of 1041 and 1049

1. What is the LCM of 1041 and 1049?

Answer: LCM of 1041 and 1049 is 1092009.

2. 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.

3. What are the Factors of 1049?

Answer: Factors of 1049 are 1, 1049. There are 2 integers that are factors of 1049. The greatest factor of 1049 is 1049.

4. How to Find the LCM of 1041 and 1049?

Answer:

Least Common Multiple of 1041 and 1049 = 1092009

Step 1: Find the prime factorization of 1041

1041 = 3 x 347

Step 2: Find the prime factorization of 1049

1049 = 1049

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

LCM = 1092009 = 3 x 347 x 1049

Step 4: Therefore, the least common multiple of 1041 and 1049 is 1092009.