Least Common Multiple of 1046 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 1046 and 1049 the smallest integer that is 1097254 that is divisible by both numbers.

Least Common Multiple (LCM) of 1046 and 1049 is 1097254.

LCM(1046,1049) = 1097254

LCM of 1046 and 1049

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

LCM of:
and

Least Common Multiple of 1046 and 1049

LCM of 1046 and 1049 is 1097254

Least common multiple can be found by multiplying the highest exponent prime factors of 1046 and 1049. First we will calculate the prime factors of 1046 and 1049.

Prime Factorization of 1046


2 1046
523 523
1

Prime factors of 1046 are 2,523. Prime factorization of 1046 in exponential form is:

1046 = 21×5231

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 1046 and 1049.

LCM(1046,1049) = 21×5231×10491
LCM(1046,1049) = 1097254

Factors of 1046

List of positive integer factors of 1046 that divides 1046 without a remainder.

1, 2, 523, 1046

Factors of 1049

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

1, 1049

Least Common Multiple of 1046 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 1046 and 1049, than apply into the LCM equation.

GCF(1046,1049) = 1
LCM(1046,1049) = ( 1046 × 1049) / 1
LCM(1046,1049) = 1097254 / 1
LCM(1046,1049) = 1097254

Properties of LCM 1046 and 1049

(i) The LCM of 1049 and 1046 is associative

LCM of 1046 and 1049 = LCM of 1049 and 1046

Related Least Common Multiples of 1046

Related Least Common Multiples of 1049

Frequently Asked Questions on LCM of 1046 and 1049

1. What is the LCM of 1046 and 1049?

Answer: LCM of 1046 and 1049 is 1097254.

2. What are the Factors of 1046?

Answer: Factors of 1046 are 1, 2, 523, 1046. There are 4 integers that are factors of 1046. The greatest factor of 1046 is 1046.

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 1046 and 1049?

Answer:

Least Common Multiple of 1046 and 1049 = 1097254

Step 1: Find the prime factorization of 1046

1046 = 2 x 523

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 = 1097254 = 2 x 523 x 1049

Step 4: Therefore, the least common multiple of 1046 and 1049 is 1097254.