Least Common Multiple of 1094 and 1101

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 1101 the smallest integer that is 1204494 that is divisible by both numbers.

Least Common Multiple (LCM) of 1094 and 1101 is 1204494.

LCM(1094,1101) = 1204494

LCM of 1094 and 1101

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

LCM of:
and

Least Common Multiple of 1094 and 1101

LCM of 1094 and 1101 is 1204494

Least common multiple can be found by multiplying the highest exponent prime factors of 1094 and 1101. First we will calculate the prime factors of 1094 and 1101.

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 1101


3 1101
367 367
1

Prime factors of 1101 are 3,367. Prime factorization of 1101 in exponential form is:

1101 = 31×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 1094 and 1101.

LCM(1094,1101) = 21×31×3671×5471
LCM(1094,1101) = 1204494

Factors of 1094

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

1, 2, 547, 1094

Factors of 1101

List of positive integer factors of 1101 that divides 1101 without a remainder.

1, 3, 367, 1101

Least Common Multiple of 1094 and 1101 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 1101, than apply into the LCM equation.

GCF(1094,1101) = 1
LCM(1094,1101) = ( 1094 × 1101) / 1
LCM(1094,1101) = 1204494 / 1
LCM(1094,1101) = 1204494

Properties of LCM 1094 and 1101

(i) The LCM of 1101 and 1094 is associative

LCM of 1094 and 1101 = LCM of 1101 and 1094

Related Least Common Multiples of 1094

Related Least Common Multiples of 1101

Frequently Asked Questions on LCM of 1094 and 1101

1. What is the LCM of 1094 and 1101?

Answer: LCM of 1094 and 1101 is 1204494.

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 1101?

Answer: Factors of 1101 are 1, 3, 367, 1101. There are 4 integers that are factors of 1101. The greatest factor of 1101 is 1101.

4. How to Find the LCM of 1094 and 1101?

Answer:

Least Common Multiple of 1094 and 1101 = 1204494

Step 1: Find the prime factorization of 1094

1094 = 2 x 547

Step 2: Find the prime factorization of 1101

1101 = 3 x 367

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

LCM = 1204494 = 2 x 3 x 367 x 547

Step 4: Therefore, the least common multiple of 1094 and 1101 is 1204494.