Least Common Multiple of 1086 and 1094

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1086 and 1094 the smallest integer that is 594042 that is divisible by both numbers.

Least Common Multiple (LCM) of 1086 and 1094 is 594042.

LCM(1086,1094) = 594042

LCM of 1086 and 1094

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

LCM of:
and

Least Common Multiple of 1086 and 1094

LCM of 1086 and 1094 is 594042

Least common multiple can be found by multiplying the highest exponent prime factors of 1086 and 1094. First we will calculate the prime factors of 1086 and 1094.

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

Prime Factorization of 1094


2 1094
547 547
1

Prime factors of 1094 are 2,547. Prime factorization of 1094 in exponential form is:

1094 = 21×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 1086 and 1094.

LCM(1086,1094) = 21×31×1811×5471
LCM(1086,1094) = 594042

Factors of 1086

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

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

Factors of 1094

List of positive integer factors of 1094 that divides 1094 without a remainder.

1, 2, 547, 1094

Least Common Multiple of 1086 and 1094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1086 and 1094, than apply into the LCM equation.

GCF(1086,1094) = 2
LCM(1086,1094) = ( 1086 × 1094) / 2
LCM(1086,1094) = 1188084 / 2
LCM(1086,1094) = 594042

Properties of LCM 1086 and 1094

(i) The LCM of 1094 and 1086 is associative

LCM of 1086 and 1094 = LCM of 1094 and 1086

Related Least Common Multiples of 1086

Related Least Common Multiples of 1094

Frequently Asked Questions on LCM of 1086 and 1094

1. What is the LCM of 1086 and 1094?

Answer: LCM of 1086 and 1094 is 594042.

2. 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.

3. What are the Factors of 1094?

Answer: Factors of 1094 are 1, 2, 547, 1094. There are 4 integers that are factors of 1094. The greatest factor of 1094 is 1094.

4. How to Find the LCM of 1086 and 1094?

Answer:

Least Common Multiple of 1086 and 1094 = 594042

Step 1: Find the prime factorization of 1086

1086 = 2 x 3 x 181

Step 2: Find the prime factorization of 1094

1094 = 2 x 547

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

LCM = 594042 = 2 x 3 x 181 x 547

Step 4: Therefore, the least common multiple of 1086 and 1094 is 594042.