Least Common Multiple of 1087 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 1087 and 1094 the smallest integer that is 1189178 that is divisible by both numbers.

Least Common Multiple (LCM) of 1087 and 1094 is 1189178.

LCM(1087,1094) = 1189178

LCM of 1087 and 1094

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

LCM of:
and

Least Common Multiple of 1087 and 1094

LCM of 1087 and 1094 is 1189178

Least common multiple can be found by multiplying the highest exponent prime factors of 1087 and 1094. First we will calculate the prime factors of 1087 and 1094.

Prime Factorization of 1087


1087 1087
1

Prime factors of 1087 are 1087. Prime factorization of 1087 in exponential form is:

1087 = 10871

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 1087 and 1094.

LCM(1087,1094) = 21×5471×10871
LCM(1087,1094) = 1189178

Factors of 1087

List of positive integer factors of 1087 that divides 1087 without a remainder.

1, 1087

Factors of 1094

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

1, 2, 547, 1094

Least Common Multiple of 1087 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 1087 and 1094, than apply into the LCM equation.

GCF(1087,1094) = 1
LCM(1087,1094) = ( 1087 × 1094) / 1
LCM(1087,1094) = 1189178 / 1
LCM(1087,1094) = 1189178

Properties of LCM 1087 and 1094

(i) The LCM of 1094 and 1087 is associative

LCM of 1087 and 1094 = LCM of 1094 and 1087

Related Least Common Multiples of 1087

Related Least Common Multiples of 1094

Frequently Asked Questions on LCM of 1087 and 1094

1. What is the LCM of 1087 and 1094?

Answer: LCM of 1087 and 1094 is 1189178.

2. What are the Factors of 1087?

Answer: Factors of 1087 are 1, 1087. There are 2 integers that are factors of 1087. The greatest factor of 1087 is 1087.

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 1087 and 1094?

Answer:

Least Common Multiple of 1087 and 1094 = 1189178

Step 1: Find the prime factorization of 1087

1087 = 1087

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 = 1189178 = 2 x 547 x 1087

Step 4: Therefore, the least common multiple of 1087 and 1094 is 1189178.