Least Common Multiple of 1054 and 1060

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 1060 the smallest integer that is 558620 that is divisible by both numbers.

Least Common Multiple (LCM) of 1054 and 1060 is 558620.

LCM(1054,1060) = 558620

LCM of 1054 and 1060

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

LCM of:
and

Least Common Multiple of 1054 and 1060

LCM of 1054 and 1060 is 558620

Least common multiple can be found by multiplying the highest exponent prime factors of 1054 and 1060. First we will calculate the prime factors of 1054 and 1060.

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 1060


2 1060
2 530
5 265
53 53
1

Prime factors of 1060 are 2, 5,53. Prime factorization of 1060 in exponential form is:

1060 = 22×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 1054 and 1060.

LCM(1054,1060) = 22×51×171×311×531
LCM(1054,1060) = 558620

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 1060

List of positive integer factors of 1060 that divides 1060 without a remainder.

1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060

Least Common Multiple of 1054 and 1060 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 1060, than apply into the LCM equation.

GCF(1054,1060) = 2
LCM(1054,1060) = ( 1054 × 1060) / 2
LCM(1054,1060) = 1117240 / 2
LCM(1054,1060) = 558620

Properties of LCM 1054 and 1060

(i) The LCM of 1060 and 1054 is associative

LCM of 1054 and 1060 = LCM of 1060 and 1054

Related Least Common Multiples of 1054

Related Least Common Multiples of 1060

Frequently Asked Questions on LCM of 1054 and 1060

1. What is the LCM of 1054 and 1060?

Answer: LCM of 1054 and 1060 is 558620.

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 1060?

Answer: Factors of 1060 are 1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060. There are 12 integers that are factors of 1060. The greatest factor of 1060 is 1060.

4. How to Find the LCM of 1054 and 1060?

Answer:

Least Common Multiple of 1054 and 1060 = 558620

Step 1: Find the prime factorization of 1054

1054 = 2 x 17 x 31

Step 2: Find the prime factorization of 1060

1060 = 2 x 2 x 5 x 53

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

LCM = 558620 = 2 x 2 x 5 x 17 x 31 x 53

Step 4: Therefore, the least common multiple of 1054 and 1060 is 558620.