Least Common Multiple of 1046 and 1054

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1046 and 1054 the smallest integer that is 551242 that is divisible by both numbers.

Least Common Multiple (LCM) of 1046 and 1054 is 551242.

LCM(1046,1054) = 551242

LCM of 1046 and 1054

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

LCM of:
and

Least Common Multiple of 1046 and 1054

LCM of 1046 and 1054 is 551242

Least common multiple can be found by multiplying the highest exponent prime factors of 1046 and 1054. First we will calculate the prime factors of 1046 and 1054.

Prime Factorization of 1046


2 1046
523 523
1

Prime factors of 1046 are 2,523. Prime factorization of 1046 in exponential form is:

1046 = 21×5231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1046 and 1054.

LCM(1046,1054) = 21×171×311×5231
LCM(1046,1054) = 551242

Factors of 1046

List of positive integer factors of 1046 that divides 1046 without a remainder.

1, 2, 523, 1046

Factors of 1054

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

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

Least Common Multiple of 1046 and 1054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1046 and 1054, than apply into the LCM equation.

GCF(1046,1054) = 2
LCM(1046,1054) = ( 1046 × 1054) / 2
LCM(1046,1054) = 1102484 / 2
LCM(1046,1054) = 551242

Properties of LCM 1046 and 1054

(i) The LCM of 1054 and 1046 is associative

LCM of 1046 and 1054 = LCM of 1054 and 1046

Related Least Common Multiples of 1046

Related Least Common Multiples of 1054

Frequently Asked Questions on LCM of 1046 and 1054

1. What is the LCM of 1046 and 1054?

Answer: LCM of 1046 and 1054 is 551242.

2. What are the Factors of 1046?

Answer: Factors of 1046 are 1, 2, 523, 1046. There are 4 integers that are factors of 1046. The greatest factor of 1046 is 1046.

3. 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.

4. How to Find the LCM of 1046 and 1054?

Answer:

Least Common Multiple of 1046 and 1054 = 551242

Step 1: Find the prime factorization of 1046

1046 = 2 x 523

Step 2: Find the prime factorization of 1054

1054 = 2 x 17 x 31

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

LCM = 551242 = 2 x 17 x 31 x 523

Step 4: Therefore, the least common multiple of 1046 and 1054 is 551242.