Least Common Multiple of 1054 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 1054 and 1062 the smallest integer that is 559674 that is divisible by both numbers.

Least Common Multiple (LCM) of 1054 and 1062 is 559674.

LCM(1054,1062) = 559674

LCM of 1054 and 1062

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

LCM of:
and

Least Common Multiple of 1054 and 1062

LCM of 1054 and 1062 is 559674

Least common multiple can be found by multiplying the highest exponent prime factors of 1054 and 1062. First we will calculate the prime factors of 1054 and 1062.

Prime Factorization of 1054


2 1054
17 527
31 31
1

Prime factors of 1054 are 2, 17,31. Prime factorization of 1054 in exponential form is:

1054 = 21×171×311

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 1054 and 1062.

LCM(1054,1062) = 21×32×171×311×591
LCM(1054,1062) = 559674

Factors of 1054

List of positive integer factors of 1054 that divides 1054 without a remainder.

1, 2, 17, 31, 34, 62, 527, 1054

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 1054 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 1054 and 1062, than apply into the LCM equation.

GCF(1054,1062) = 2
LCM(1054,1062) = ( 1054 × 1062) / 2
LCM(1054,1062) = 1119348 / 2
LCM(1054,1062) = 559674

Properties of LCM 1054 and 1062

(i) The LCM of 1062 and 1054 is associative

LCM of 1054 and 1062 = LCM of 1062 and 1054

Related Least Common Multiples of 1054

Related Least Common Multiples of 1062

Frequently Asked Questions on LCM of 1054 and 1062

1. What is the LCM of 1054 and 1062?

Answer: LCM of 1054 and 1062 is 559674.

2. What are the Factors of 1054?

Answer: Factors of 1054 are 1, 2, 17, 31, 34, 62, 527, 1054. There are 8 integers that are factors of 1054. The greatest factor of 1054 is 1054.

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 1054 and 1062?

Answer:

Least Common Multiple of 1054 and 1062 = 559674

Step 1: Find the prime factorization of 1054

1054 = 2 x 17 x 31

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 = 559674 = 2 x 3 x 3 x 17 x 31 x 59

Step 4: Therefore, the least common multiple of 1054 and 1062 is 559674.