Least Common Multiple of 1055 and 1062

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 1062 the smallest integer that is 1120410 that is divisible by both numbers.

Least Common Multiple (LCM) of 1055 and 1062 is 1120410.

LCM(1055,1062) = 1120410

LCM of 1055 and 1062

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

LCM of:
and

Least Common Multiple of 1055 and 1062

LCM of 1055 and 1062 is 1120410

Least common multiple can be found by multiplying the highest exponent prime factors of 1055 and 1062. First we will calculate the prime factors of 1055 and 1062.

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 1062


2 1062
3 531
3 177
59 59
1

Prime factors of 1062 are 2, 3,59. Prime factorization of 1062 in exponential form is:

1062 = 21×32×591

Now multiplying the highest exponent prime factors to calculate the LCM of 1055 and 1062.

LCM(1055,1062) = 21×32×51×591×2111
LCM(1055,1062) = 1120410

Factors of 1055

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

1, 5, 211, 1055

Factors of 1062

List of positive integer factors of 1062 that divides 1062 without a remainder.

1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, 1062

Least Common Multiple of 1055 and 1062 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 1062, than apply into the LCM equation.

GCF(1055,1062) = 1
LCM(1055,1062) = ( 1055 × 1062) / 1
LCM(1055,1062) = 1120410 / 1
LCM(1055,1062) = 1120410

Properties of LCM 1055 and 1062

(i) The LCM of 1062 and 1055 is associative

LCM of 1055 and 1062 = LCM of 1062 and 1055

Related Least Common Multiples of 1055

Related Least Common Multiples of 1062

Frequently Asked Questions on LCM of 1055 and 1062

1. What is the LCM of 1055 and 1062?

Answer: LCM of 1055 and 1062 is 1120410.

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 1062?

Answer: Factors of 1062 are 1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, 1062. There are 12 integers that are factors of 1062. The greatest factor of 1062 is 1062.

4. How to Find the LCM of 1055 and 1062?

Answer:

Least Common Multiple of 1055 and 1062 = 1120410

Step 1: Find the prime factorization of 1055

1055 = 5 x 211

Step 2: Find the prime factorization of 1062

1062 = 2 x 3 x 3 x 59

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

LCM = 1120410 = 2 x 3 x 3 x 5 x 59 x 211

Step 4: Therefore, the least common multiple of 1055 and 1062 is 1120410.