Least Common Multiple of 1074 and 1082

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1074 and 1082 the smallest integer that is 581034 that is divisible by both numbers.

Least Common Multiple (LCM) of 1074 and 1082 is 581034.

LCM(1074,1082) = 581034

LCM of 1074 and 1082

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

LCM of:
and

Least Common Multiple of 1074 and 1082

LCM of 1074 and 1082 is 581034

Least common multiple can be found by multiplying the highest exponent prime factors of 1074 and 1082. First we will calculate the prime factors of 1074 and 1082.

Prime Factorization of 1074


2 1074
3 537
179 179
1

Prime factors of 1074 are 2, 3,179. Prime factorization of 1074 in exponential form is:

1074 = 21×31×1791

Prime Factorization of 1082


2 1082
541 541
1

Prime factors of 1082 are 2,541. Prime factorization of 1082 in exponential form is:

1082 = 21×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 1074 and 1082.

LCM(1074,1082) = 21×31×1791×5411
LCM(1074,1082) = 581034

Factors of 1074

List of positive integer factors of 1074 that divides 1074 without a remainder.

1, 2, 3, 6, 179, 358, 537, 1074

Factors of 1082

List of positive integer factors of 1082 that divides 1082 without a remainder.

1, 2, 541, 1082

Least Common Multiple of 1074 and 1082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1074 and 1082, than apply into the LCM equation.

GCF(1074,1082) = 2
LCM(1074,1082) = ( 1074 × 1082) / 2
LCM(1074,1082) = 1162068 / 2
LCM(1074,1082) = 581034

Properties of LCM 1074 and 1082

(i) The LCM of 1082 and 1074 is associative

LCM of 1074 and 1082 = LCM of 1082 and 1074

Related Least Common Multiples of 1074

Related Least Common Multiples of 1082

Frequently Asked Questions on LCM of 1074 and 1082

1. What is the LCM of 1074 and 1082?

Answer: LCM of 1074 and 1082 is 581034.

2. What are the Factors of 1074?

Answer: Factors of 1074 are 1, 2, 3, 6, 179, 358, 537, 1074. There are 8 integers that are factors of 1074. The greatest factor of 1074 is 1074.

3. What are the Factors of 1082?

Answer: Factors of 1082 are 1, 2, 541, 1082. There are 4 integers that are factors of 1082. The greatest factor of 1082 is 1082.

4. How to Find the LCM of 1074 and 1082?

Answer:

Least Common Multiple of 1074 and 1082 = 581034

Step 1: Find the prime factorization of 1074

1074 = 2 x 3 x 179

Step 2: Find the prime factorization of 1082

1082 = 2 x 541

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

LCM = 581034 = 2 x 3 x 179 x 541

Step 4: Therefore, the least common multiple of 1074 and 1082 is 581034.