Least Common Multiple of 1051 and 1052

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 1052 the smallest integer that is 1105652 that is divisible by both numbers.

Least Common Multiple (LCM) of 1051 and 1052 is 1105652.

LCM(1051,1052) = 1105652

LCM of 1051 and 1052

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

LCM of:
and

Least Common Multiple of 1051 and 1052

LCM of 1051 and 1052 is 1105652

Least common multiple can be found by multiplying the highest exponent prime factors of 1051 and 1052. First we will calculate the prime factors of 1051 and 1052.

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 1052


2 1052
2 526
263 263
1

Prime factors of 1052 are 2,263. Prime factorization of 1052 in exponential form is:

1052 = 22×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 1051 and 1052.

LCM(1051,1052) = 22×2631×10511
LCM(1051,1052) = 1105652

Factors of 1051

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

1, 1051

Factors of 1052

List of positive integer factors of 1052 that divides 1052 without a remainder.

1, 2, 4, 263, 526, 1052

Least Common Multiple of 1051 and 1052 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 1052, than apply into the LCM equation.

GCF(1051,1052) = 1
LCM(1051,1052) = ( 1051 × 1052) / 1
LCM(1051,1052) = 1105652 / 1
LCM(1051,1052) = 1105652

Properties of LCM 1051 and 1052

(i) The LCM of 1052 and 1051 is associative

LCM of 1051 and 1052 = LCM of 1052 and 1051

Related Least Common Multiples of 1051

Related Least Common Multiples of 1052

Frequently Asked Questions on LCM of 1051 and 1052

1. What is the LCM of 1051 and 1052?

Answer: LCM of 1051 and 1052 is 1105652.

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 1052?

Answer: Factors of 1052 are 1, 2, 4, 263, 526, 1052. There are 6 integers that are factors of 1052. The greatest factor of 1052 is 1052.

4. How to Find the LCM of 1051 and 1052?

Answer:

Least Common Multiple of 1051 and 1052 = 1105652

Step 1: Find the prime factorization of 1051

1051 = 1051

Step 2: Find the prime factorization of 1052

1052 = 2 x 2 x 263

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

LCM = 1105652 = 2 x 2 x 263 x 1051

Step 4: Therefore, the least common multiple of 1051 and 1052 is 1105652.