Least Common Multiple of 1049 and 1055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1049 and 1055 the smallest integer that is 1106695 that is divisible by both numbers.

Least Common Multiple (LCM) of 1049 and 1055 is 1106695.

LCM(1049,1055) = 1106695

LCM of 1049 and 1055

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

LCM of:
and

Least Common Multiple of 1049 and 1055

LCM of 1049 and 1055 is 1106695

Least common multiple can be found by multiplying the highest exponent prime factors of 1049 and 1055. First we will calculate the prime factors of 1049 and 1055.

Prime Factorization of 1049


1049 1049
1

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

1049 = 10491

Prime Factorization of 1055


5 1055
211 211
1

Prime factors of 1055 are 5,211. Prime factorization of 1055 in exponential form is:

1055 = 51×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 1049 and 1055.

LCM(1049,1055) = 51×2111×10491
LCM(1049,1055) = 1106695

Factors of 1049

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

1, 1049

Factors of 1055

List of positive integer factors of 1055 that divides 1055 without a remainder.

1, 5, 211, 1055

Least Common Multiple of 1049 and 1055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1049 and 1055, than apply into the LCM equation.

GCF(1049,1055) = 1
LCM(1049,1055) = ( 1049 × 1055) / 1
LCM(1049,1055) = 1106695 / 1
LCM(1049,1055) = 1106695

Properties of LCM 1049 and 1055

(i) The LCM of 1055 and 1049 is associative

LCM of 1049 and 1055 = LCM of 1055 and 1049

Related Least Common Multiples of 1049

Related Least Common Multiples of 1055

Frequently Asked Questions on LCM of 1049 and 1055

1. What is the LCM of 1049 and 1055?

Answer: LCM of 1049 and 1055 is 1106695.

2. 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.

3. What are the Factors of 1055?

Answer: Factors of 1055 are 1, 5, 211, 1055. There are 4 integers that are factors of 1055. The greatest factor of 1055 is 1055.

4. How to Find the LCM of 1049 and 1055?

Answer:

Least Common Multiple of 1049 and 1055 = 1106695

Step 1: Find the prime factorization of 1049

1049 = 1049

Step 2: Find the prime factorization of 1055

1055 = 5 x 211

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

LCM = 1106695 = 5 x 211 x 1049

Step 4: Therefore, the least common multiple of 1049 and 1055 is 1106695.