Least Common Multiple of 1051 and 1057

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 1057 the smallest integer that is 1110907 that is divisible by both numbers.

Least Common Multiple (LCM) of 1051 and 1057 is 1110907.

LCM(1051,1057) = 1110907

LCM of 1051 and 1057

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

LCM of:
and

Least Common Multiple of 1051 and 1057

LCM of 1051 and 1057 is 1110907

Least common multiple can be found by multiplying the highest exponent prime factors of 1051 and 1057. First we will calculate the prime factors of 1051 and 1057.

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 1057


7 1057
151 151
1

Prime factors of 1057 are 7,151. Prime factorization of 1057 in exponential form is:

1057 = 71×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 1051 and 1057.

LCM(1051,1057) = 71×1511×10511
LCM(1051,1057) = 1110907

Factors of 1051

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

1, 1051

Factors of 1057

List of positive integer factors of 1057 that divides 1057 without a remainder.

1, 7, 151, 1057

Least Common Multiple of 1051 and 1057 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 1057, than apply into the LCM equation.

GCF(1051,1057) = 1
LCM(1051,1057) = ( 1051 × 1057) / 1
LCM(1051,1057) = 1110907 / 1
LCM(1051,1057) = 1110907

Properties of LCM 1051 and 1057

(i) The LCM of 1057 and 1051 is associative

LCM of 1051 and 1057 = LCM of 1057 and 1051

Related Least Common Multiples of 1051

Related Least Common Multiples of 1057

Frequently Asked Questions on LCM of 1051 and 1057

1. What is the LCM of 1051 and 1057?

Answer: LCM of 1051 and 1057 is 1110907.

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 1057?

Answer: Factors of 1057 are 1, 7, 151, 1057. There are 4 integers that are factors of 1057. The greatest factor of 1057 is 1057.

4. How to Find the LCM of 1051 and 1057?

Answer:

Least Common Multiple of 1051 and 1057 = 1110907

Step 1: Find the prime factorization of 1051

1051 = 1051

Step 2: Find the prime factorization of 1057

1057 = 7 x 151

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

LCM = 1110907 = 7 x 151 x 1051

Step 4: Therefore, the least common multiple of 1051 and 1057 is 1110907.