Least Common Multiple of 1051 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 1051 and 1055 the smallest integer that is 1108805 that is divisible by both numbers.

Least Common Multiple (LCM) of 1051 and 1055 is 1108805.

LCM(1051,1055) = 1108805

LCM of 1051 and 1055

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

LCM of:
and

Least Common Multiple of 1051 and 1055

LCM of 1051 and 1055 is 1108805

Least common multiple can be found by multiplying the highest exponent prime factors of 1051 and 1055. First we will calculate the prime factors of 1051 and 1055.

Prime Factorization of 1051


1051 1051
1

Prime factors of 1051 are 1051. Prime factorization of 1051 in exponential form is:

1051 = 10511

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 1051 and 1055.

LCM(1051,1055) = 51×2111×10511
LCM(1051,1055) = 1108805

Factors of 1051

List of positive integer factors of 1051 that divides 1051 without a remainder.

1, 1051

Factors of 1055

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

1, 5, 211, 1055

Least Common Multiple of 1051 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 1051 and 1055, than apply into the LCM equation.

GCF(1051,1055) = 1
LCM(1051,1055) = ( 1051 × 1055) / 1
LCM(1051,1055) = 1108805 / 1
LCM(1051,1055) = 1108805

Properties of LCM 1051 and 1055

(i) The LCM of 1055 and 1051 is associative

LCM of 1051 and 1055 = LCM of 1055 and 1051

Related Least Common Multiples of 1051

Related Least Common Multiples of 1055

Frequently Asked Questions on LCM of 1051 and 1055

1. What is the LCM of 1051 and 1055?

Answer: LCM of 1051 and 1055 is 1108805.

2. What are the Factors of 1051?

Answer: Factors of 1051 are 1, 1051. There are 2 integers that are factors of 1051. The greatest factor of 1051 is 1051.

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 1051 and 1055?

Answer:

Least Common Multiple of 1051 and 1055 = 1108805

Step 1: Find the prime factorization of 1051

1051 = 1051

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 = 1108805 = 5 x 211 x 1051

Step 4: Therefore, the least common multiple of 1051 and 1055 is 1108805.