Least Common Multiple of 1094 and 1100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1094 and 1100 the smallest integer that is 601700 that is divisible by both numbers.

Least Common Multiple (LCM) of 1094 and 1100 is 601700.

LCM(1094,1100) = 601700

LCM of 1094 and 1100

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

LCM of:
and

Least Common Multiple of 1094 and 1100

LCM of 1094 and 1100 is 601700

Least common multiple can be found by multiplying the highest exponent prime factors of 1094 and 1100. First we will calculate the prime factors of 1094 and 1100.

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

Prime Factorization of 1100


2 1100
2 550
5 275
5 55
11 11
1

Prime factors of 1100 are 2, 5,11. Prime factorization of 1100 in exponential form is:

1100 = 22×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1094 and 1100.

LCM(1094,1100) = 22×52×111×5471
LCM(1094,1100) = 601700

Factors of 1094

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

1, 2, 547, 1094

Factors of 1100

List of positive integer factors of 1100 that divides 1100 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100

Least Common Multiple of 1094 and 1100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1094 and 1100, than apply into the LCM equation.

GCF(1094,1100) = 2
LCM(1094,1100) = ( 1094 × 1100) / 2
LCM(1094,1100) = 1203400 / 2
LCM(1094,1100) = 601700

Properties of LCM 1094 and 1100

(i) The LCM of 1100 and 1094 is associative

LCM of 1094 and 1100 = LCM of 1100 and 1094

Related Least Common Multiples of 1094

Related Least Common Multiples of 1100

Frequently Asked Questions on LCM of 1094 and 1100

1. What is the LCM of 1094 and 1100?

Answer: LCM of 1094 and 1100 is 601700.

2. 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.

3. What are the Factors of 1100?

Answer: Factors of 1100 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100. There are 18 integers that are factors of 1100. The greatest factor of 1100 is 1100.

4. How to Find the LCM of 1094 and 1100?

Answer:

Least Common Multiple of 1094 and 1100 = 601700

Step 1: Find the prime factorization of 1094

1094 = 2 x 547

Step 2: Find the prime factorization of 1100

1100 = 2 x 2 x 5 x 5 x 11

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

LCM = 601700 = 2 x 2 x 5 x 5 x 11 x 547

Step 4: Therefore, the least common multiple of 1094 and 1100 is 601700.