Least Common Multiple of 1038 and 1046

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1038 and 1046 the smallest integer that is 542874 that is divisible by both numbers.

Least Common Multiple (LCM) of 1038 and 1046 is 542874.

LCM(1038,1046) = 542874

LCM of 1038 and 1046

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

LCM of:
and

Least Common Multiple of 1038 and 1046

LCM of 1038 and 1046 is 542874

Least common multiple can be found by multiplying the highest exponent prime factors of 1038 and 1046. First we will calculate the prime factors of 1038 and 1046.

Prime Factorization of 1038


2 1038
3 519
173 173
1

Prime factors of 1038 are 2, 3,173. Prime factorization of 1038 in exponential form is:

1038 = 21×31×1731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1038 and 1046.

LCM(1038,1046) = 21×31×1731×5231
LCM(1038,1046) = 542874

Factors of 1038

List of positive integer factors of 1038 that divides 1038 without a remainder.

1, 2, 3, 6, 173, 346, 519, 1038

Factors of 1046

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

1, 2, 523, 1046

Least Common Multiple of 1038 and 1046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1038 and 1046, than apply into the LCM equation.

GCF(1038,1046) = 2
LCM(1038,1046) = ( 1038 × 1046) / 2
LCM(1038,1046) = 1085748 / 2
LCM(1038,1046) = 542874

Properties of LCM 1038 and 1046

(i) The LCM of 1046 and 1038 is associative

LCM of 1038 and 1046 = LCM of 1046 and 1038

Related Least Common Multiples of 1038

Related Least Common Multiples of 1046

Frequently Asked Questions on LCM of 1038 and 1046

1. What is the LCM of 1038 and 1046?

Answer: LCM of 1038 and 1046 is 542874.

2. What are the Factors of 1038?

Answer: Factors of 1038 are 1, 2, 3, 6, 173, 346, 519, 1038. There are 8 integers that are factors of 1038. The greatest factor of 1038 is 1038.

3. 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.

4. How to Find the LCM of 1038 and 1046?

Answer:

Least Common Multiple of 1038 and 1046 = 542874

Step 1: Find the prime factorization of 1038

1038 = 2 x 3 x 173

Step 2: Find the prime factorization of 1046

1046 = 2 x 523

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

LCM = 542874 = 2 x 3 x 173 x 523

Step 4: Therefore, the least common multiple of 1038 and 1046 is 542874.