Least Common Multiple of 1078 and 1084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1078 and 1084 the smallest integer that is 584276 that is divisible by both numbers.

Least Common Multiple (LCM) of 1078 and 1084 is 584276.

LCM(1078,1084) = 584276

LCM of 1078 and 1084

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

LCM of:
and

Least Common Multiple of 1078 and 1084

LCM of 1078 and 1084 is 584276

Least common multiple can be found by multiplying the highest exponent prime factors of 1078 and 1084. First we will calculate the prime factors of 1078 and 1084.

Prime Factorization of 1078


2 1078
7 539
7 77
11 11
1

Prime factors of 1078 are 2, 7,11. Prime factorization of 1078 in exponential form is:

1078 = 21×72×111

Prime Factorization of 1084


2 1084
2 542
271 271
1

Prime factors of 1084 are 2,271. Prime factorization of 1084 in exponential form is:

1084 = 22×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 1078 and 1084.

LCM(1078,1084) = 22×72×111×2711
LCM(1078,1084) = 584276

Factors of 1078

List of positive integer factors of 1078 that divides 1078 without a remainder.

1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539, 1078

Factors of 1084

List of positive integer factors of 1084 that divides 1084 without a remainder.

1, 2, 4, 271, 542, 1084

Least Common Multiple of 1078 and 1084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1078 and 1084, than apply into the LCM equation.

GCF(1078,1084) = 2
LCM(1078,1084) = ( 1078 × 1084) / 2
LCM(1078,1084) = 1168552 / 2
LCM(1078,1084) = 584276

Properties of LCM 1078 and 1084

(i) The LCM of 1084 and 1078 is associative

LCM of 1078 and 1084 = LCM of 1084 and 1078

Related Least Common Multiples of 1078

Related Least Common Multiples of 1084

Frequently Asked Questions on LCM of 1078 and 1084

1. What is the LCM of 1078 and 1084?

Answer: LCM of 1078 and 1084 is 584276.

2. What are the Factors of 1078?

Answer: Factors of 1078 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539, 1078. There are 12 integers that are factors of 1078. The greatest factor of 1078 is 1078.

3. What are the Factors of 1084?

Answer: Factors of 1084 are 1, 2, 4, 271, 542, 1084. There are 6 integers that are factors of 1084. The greatest factor of 1084 is 1084.

4. How to Find the LCM of 1078 and 1084?

Answer:

Least Common Multiple of 1078 and 1084 = 584276

Step 1: Find the prime factorization of 1078

1078 = 2 x 7 x 7 x 11

Step 2: Find the prime factorization of 1084

1084 = 2 x 2 x 271

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

LCM = 584276 = 2 x 2 x 7 x 7 x 11 x 271

Step 4: Therefore, the least common multiple of 1078 and 1084 is 584276.