Least Common Multiple of 1055 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 1055 and 1057 the smallest integer that is 1115135 that is divisible by both numbers.

Least Common Multiple (LCM) of 1055 and 1057 is 1115135.

LCM(1055,1057) = 1115135

LCM of 1055 and 1057

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

LCM of:
and

Least Common Multiple of 1055 and 1057

LCM of 1055 and 1057 is 1115135

Least common multiple can be found by multiplying the highest exponent prime factors of 1055 and 1057. First we will calculate the prime factors of 1055 and 1057.

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

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 1055 and 1057.

LCM(1055,1057) = 51×71×1511×2111
LCM(1055,1057) = 1115135

Factors of 1055

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

1, 5, 211, 1055

Factors of 1057

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

1, 7, 151, 1057

Least Common Multiple of 1055 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 1055 and 1057, than apply into the LCM equation.

GCF(1055,1057) = 1
LCM(1055,1057) = ( 1055 × 1057) / 1
LCM(1055,1057) = 1115135 / 1
LCM(1055,1057) = 1115135

Properties of LCM 1055 and 1057

(i) The LCM of 1057 and 1055 is associative

LCM of 1055 and 1057 = LCM of 1057 and 1055

Related Least Common Multiples of 1055

Related Least Common Multiples of 1057

Frequently Asked Questions on LCM of 1055 and 1057

1. What is the LCM of 1055 and 1057?

Answer: LCM of 1055 and 1057 is 1115135.

2. 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.

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 1055 and 1057?

Answer:

Least Common Multiple of 1055 and 1057 = 1115135

Step 1: Find the prime factorization of 1055

1055 = 5 x 211

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 = 1115135 = 5 x 7 x 151 x 211

Step 4: Therefore, the least common multiple of 1055 and 1057 is 1115135.