Least Common Multiple of 1057 and 1061

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 1061 the smallest integer that is 1121477 that is divisible by both numbers.

Least Common Multiple (LCM) of 1057 and 1061 is 1121477.

LCM(1057,1061) = 1121477

LCM of 1057 and 1061

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

LCM of:
and

Least Common Multiple of 1057 and 1061

LCM of 1057 and 1061 is 1121477

Least common multiple can be found by multiplying the highest exponent prime factors of 1057 and 1061. First we will calculate the prime factors of 1057 and 1061.

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 1061


1061 1061
1

Prime factors of 1061 are 1061. Prime factorization of 1061 in exponential form is:

1061 = 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 1057 and 1061.

LCM(1057,1061) = 71×1511×10611
LCM(1057,1061) = 1121477

Factors of 1057

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

1, 7, 151, 1057

Factors of 1061

List of positive integer factors of 1061 that divides 1061 without a remainder.

1, 1061

Least Common Multiple of 1057 and 1061 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 1061, than apply into the LCM equation.

GCF(1057,1061) = 1
LCM(1057,1061) = ( 1057 × 1061) / 1
LCM(1057,1061) = 1121477 / 1
LCM(1057,1061) = 1121477

Properties of LCM 1057 and 1061

(i) The LCM of 1061 and 1057 is associative

LCM of 1057 and 1061 = LCM of 1061 and 1057

Related Least Common Multiples of 1057

Related Least Common Multiples of 1061

Frequently Asked Questions on LCM of 1057 and 1061

1. What is the LCM of 1057 and 1061?

Answer: LCM of 1057 and 1061 is 1121477.

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 1061?

Answer: Factors of 1061 are 1, 1061. There are 2 integers that are factors of 1061. The greatest factor of 1061 is 1061.

4. How to Find the LCM of 1057 and 1061?

Answer:

Least Common Multiple of 1057 and 1061 = 1121477

Step 1: Find the prime factorization of 1057

1057 = 7 x 151

Step 2: Find the prime factorization of 1061

1061 = 1061

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

LCM = 1121477 = 7 x 151 x 1061

Step 4: Therefore, the least common multiple of 1057 and 1061 is 1121477.