Least Common Multiple of 1019 and 1026

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1019 and 1026 the smallest integer that is 1045494 that is divisible by both numbers.

Least Common Multiple (LCM) of 1019 and 1026 is 1045494.

LCM(1019,1026) = 1045494

LCM of 1019 and 1026

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

LCM of:
and

Least Common Multiple of 1019 and 1026

LCM of 1019 and 1026 is 1045494

Least common multiple can be found by multiplying the highest exponent prime factors of 1019 and 1026. First we will calculate the prime factors of 1019 and 1026.

Prime Factorization of 1019


1019 1019
1

Prime factors of 1019 are 1019. Prime factorization of 1019 in exponential form is:

1019 = 10191

Prime Factorization of 1026


2 1026
3 513
3 171
3 57
19 19
1

Prime factors of 1026 are 2, 3,19. Prime factorization of 1026 in exponential form is:

1026 = 21×33×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1019 and 1026.

LCM(1019,1026) = 21×33×191×10191
LCM(1019,1026) = 1045494

Factors of 1019

List of positive integer factors of 1019 that divides 1019 without a remainder.

1, 1019

Factors of 1026

List of positive integer factors of 1026 that divides 1026 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 513, 1026

Least Common Multiple of 1019 and 1026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1019 and 1026, than apply into the LCM equation.

GCF(1019,1026) = 1
LCM(1019,1026) = ( 1019 × 1026) / 1
LCM(1019,1026) = 1045494 / 1
LCM(1019,1026) = 1045494

Properties of LCM 1019 and 1026

(i) The LCM of 1026 and 1019 is associative

LCM of 1019 and 1026 = LCM of 1026 and 1019

Related Least Common Multiples of 1019

Related Least Common Multiples of 1026

Frequently Asked Questions on LCM of 1019 and 1026

1. What is the LCM of 1019 and 1026?

Answer: LCM of 1019 and 1026 is 1045494.

2. What are the Factors of 1019?

Answer: Factors of 1019 are 1, 1019. There are 2 integers that are factors of 1019. The greatest factor of 1019 is 1019.

3. What are the Factors of 1026?

Answer: Factors of 1026 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 513, 1026. There are 16 integers that are factors of 1026. The greatest factor of 1026 is 1026.

4. How to Find the LCM of 1019 and 1026?

Answer:

Least Common Multiple of 1019 and 1026 = 1045494

Step 1: Find the prime factorization of 1019

1019 = 1019

Step 2: Find the prime factorization of 1026

1026 = 2 x 3 x 3 x 3 x 19

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

LCM = 1045494 = 2 x 3 x 3 x 3 x 19 x 1019

Step 4: Therefore, the least common multiple of 1019 and 1026 is 1045494.