Least Common Multiple of 1057 and 1065

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1057 and 1065 the smallest integer that is 1125705 that is divisible by both numbers.

Least Common Multiple (LCM) of 1057 and 1065 is 1125705.

LCM(1057,1065) = 1125705

LCM of 1057 and 1065

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

LCM of:
and

Least Common Multiple of 1057 and 1065

LCM of 1057 and 1065 is 1125705

Least common multiple can be found by multiplying the highest exponent prime factors of 1057 and 1065. First we will calculate the prime factors of 1057 and 1065.

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

Prime Factorization of 1065


3 1065
5 355
71 71
1

Prime factors of 1065 are 3, 5,71. Prime factorization of 1065 in exponential form is:

1065 = 31×51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1057 and 1065.

LCM(1057,1065) = 31×51×71×711×1511
LCM(1057,1065) = 1125705

Factors of 1057

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

1, 7, 151, 1057

Factors of 1065

List of positive integer factors of 1065 that divides 1065 without a remainder.

1, 3, 5, 15, 71, 213, 355, 1065

Least Common Multiple of 1057 and 1065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1057 and 1065, than apply into the LCM equation.

GCF(1057,1065) = 1
LCM(1057,1065) = ( 1057 × 1065) / 1
LCM(1057,1065) = 1125705 / 1
LCM(1057,1065) = 1125705

Properties of LCM 1057 and 1065

(i) The LCM of 1065 and 1057 is associative

LCM of 1057 and 1065 = LCM of 1065 and 1057

Related Least Common Multiples of 1057

Related Least Common Multiples of 1065

Frequently Asked Questions on LCM of 1057 and 1065

1. What is the LCM of 1057 and 1065?

Answer: LCM of 1057 and 1065 is 1125705.

2. 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.

3. What are the Factors of 1065?

Answer: Factors of 1065 are 1, 3, 5, 15, 71, 213, 355, 1065. There are 8 integers that are factors of 1065. The greatest factor of 1065 is 1065.

4. How to Find the LCM of 1057 and 1065?

Answer:

Least Common Multiple of 1057 and 1065 = 1125705

Step 1: Find the prime factorization of 1057

1057 = 7 x 151

Step 2: Find the prime factorization of 1065

1065 = 3 x 5 x 71

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

LCM = 1125705 = 3 x 5 x 7 x 71 x 151

Step 4: Therefore, the least common multiple of 1057 and 1065 is 1125705.