Least Common Multiple of 1090 and 1091

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1090 and 1091 the smallest integer that is 1189190 that is divisible by both numbers.

Least Common Multiple (LCM) of 1090 and 1091 is 1189190.

LCM(1090,1091) = 1189190

LCM of 1090 and 1091

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

LCM of:
and

Least Common Multiple of 1090 and 1091

LCM of 1090 and 1091 is 1189190

Least common multiple can be found by multiplying the highest exponent prime factors of 1090 and 1091. First we will calculate the prime factors of 1090 and 1091.

Prime Factorization of 1090


2 1090
5 545
109 109
1

Prime factors of 1090 are 2, 5,109. Prime factorization of 1090 in exponential form is:

1090 = 21×51×1091

Prime Factorization of 1091


1091 1091
1

Prime factors of 1091 are 1091. Prime factorization of 1091 in exponential form is:

1091 = 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 1090 and 1091.

LCM(1090,1091) = 21×51×1091×10911
LCM(1090,1091) = 1189190

Factors of 1090

List of positive integer factors of 1090 that divides 1090 without a remainder.

1, 2, 5, 10, 109, 218, 545, 1090

Factors of 1091

List of positive integer factors of 1091 that divides 1091 without a remainder.

1, 1091

Least Common Multiple of 1090 and 1091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1090 and 1091, than apply into the LCM equation.

GCF(1090,1091) = 1
LCM(1090,1091) = ( 1090 × 1091) / 1
LCM(1090,1091) = 1189190 / 1
LCM(1090,1091) = 1189190

Properties of LCM 1090 and 1091

(i) The LCM of 1091 and 1090 is associative

LCM of 1090 and 1091 = LCM of 1091 and 1090

Related Least Common Multiples of 1090

Related Least Common Multiples of 1091

Frequently Asked Questions on LCM of 1090 and 1091

1. What is the LCM of 1090 and 1091?

Answer: LCM of 1090 and 1091 is 1189190.

2. What are the Factors of 1090?

Answer: Factors of 1090 are 1, 2, 5, 10, 109, 218, 545, 1090. There are 8 integers that are factors of 1090. The greatest factor of 1090 is 1090.

3. What are the Factors of 1091?

Answer: Factors of 1091 are 1, 1091. There are 2 integers that are factors of 1091. The greatest factor of 1091 is 1091.

4. How to Find the LCM of 1090 and 1091?

Answer:

Least Common Multiple of 1090 and 1091 = 1189190

Step 1: Find the prime factorization of 1090

1090 = 2 x 5 x 109

Step 2: Find the prime factorization of 1091

1091 = 1091

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

LCM = 1189190 = 2 x 5 x 109 x 1091

Step 4: Therefore, the least common multiple of 1090 and 1091 is 1189190.