Least Common Multiple of 1078 and 1086

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 1086 the smallest integer that is 585354 that is divisible by both numbers.

Least Common Multiple (LCM) of 1078 and 1086 is 585354.

LCM(1078,1086) = 585354

LCM of 1078 and 1086

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

LCM of:
and

Least Common Multiple of 1078 and 1086

LCM of 1078 and 1086 is 585354

Least common multiple can be found by multiplying the highest exponent prime factors of 1078 and 1086. First we will calculate the prime factors of 1078 and 1086.

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 1086


2 1086
3 543
181 181
1

Prime factors of 1086 are 2, 3,181. Prime factorization of 1086 in exponential form is:

1086 = 21×31×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 1078 and 1086.

LCM(1078,1086) = 21×31×72×111×1811
LCM(1078,1086) = 585354

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 1086

List of positive integer factors of 1086 that divides 1086 without a remainder.

1, 2, 3, 6, 181, 362, 543, 1086

Least Common Multiple of 1078 and 1086 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 1086, than apply into the LCM equation.

GCF(1078,1086) = 2
LCM(1078,1086) = ( 1078 × 1086) / 2
LCM(1078,1086) = 1170708 / 2
LCM(1078,1086) = 585354

Properties of LCM 1078 and 1086

(i) The LCM of 1086 and 1078 is associative

LCM of 1078 and 1086 = LCM of 1086 and 1078

Related Least Common Multiples of 1078

Related Least Common Multiples of 1086

Frequently Asked Questions on LCM of 1078 and 1086

1. What is the LCM of 1078 and 1086?

Answer: LCM of 1078 and 1086 is 585354.

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 1086?

Answer: Factors of 1086 are 1, 2, 3, 6, 181, 362, 543, 1086. There are 8 integers that are factors of 1086. The greatest factor of 1086 is 1086.

4. How to Find the LCM of 1078 and 1086?

Answer:

Least Common Multiple of 1078 and 1086 = 585354

Step 1: Find the prime factorization of 1078

1078 = 2 x 7 x 7 x 11

Step 2: Find the prime factorization of 1086

1086 = 2 x 3 x 181

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

LCM = 585354 = 2 x 3 x 7 x 7 x 11 x 181

Step 4: Therefore, the least common multiple of 1078 and 1086 is 585354.