Least Common Multiple of 1054 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 1054 and 1057 the smallest integer that is 1114078 that is divisible by both numbers.

Least Common Multiple (LCM) of 1054 and 1057 is 1114078.

LCM(1054,1057) = 1114078

LCM of 1054 and 1057

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

LCM of:
and

Least Common Multiple of 1054 and 1057

LCM of 1054 and 1057 is 1114078

Least common multiple can be found by multiplying the highest exponent prime factors of 1054 and 1057. First we will calculate the prime factors of 1054 and 1057.

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 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 1054 and 1057.

LCM(1054,1057) = 21×71×171×311×1511
LCM(1054,1057) = 1114078

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 1057

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

1, 7, 151, 1057

Least Common Multiple of 1054 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 1054 and 1057, than apply into the LCM equation.

GCF(1054,1057) = 1
LCM(1054,1057) = ( 1054 × 1057) / 1
LCM(1054,1057) = 1114078 / 1
LCM(1054,1057) = 1114078

Properties of LCM 1054 and 1057

(i) The LCM of 1057 and 1054 is associative

LCM of 1054 and 1057 = LCM of 1057 and 1054

Related Least Common Multiples of 1054

Related Least Common Multiples of 1057

Frequently Asked Questions on LCM of 1054 and 1057

1. What is the LCM of 1054 and 1057?

Answer: LCM of 1054 and 1057 is 1114078.

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 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 1054 and 1057?

Answer:

Least Common Multiple of 1054 and 1057 = 1114078

Step 1: Find the prime factorization of 1054

1054 = 2 x 17 x 31

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 = 1114078 = 2 x 7 x 17 x 31 x 151

Step 4: Therefore, the least common multiple of 1054 and 1057 is 1114078.