Least Common Multiple of 1090 and 1096

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 1096 the smallest integer that is 597320 that is divisible by both numbers.

Least Common Multiple (LCM) of 1090 and 1096 is 597320.

LCM(1090,1096) = 597320

LCM of 1090 and 1096

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

LCM of:
and

Least Common Multiple of 1090 and 1096

LCM of 1090 and 1096 is 597320

Least common multiple can be found by multiplying the highest exponent prime factors of 1090 and 1096. First we will calculate the prime factors of 1090 and 1096.

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 1096


2 1096
2 548
2 274
137 137
1

Prime factors of 1096 are 2,137. Prime factorization of 1096 in exponential form is:

1096 = 23×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 1090 and 1096.

LCM(1090,1096) = 23×51×1091×1371
LCM(1090,1096) = 597320

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 1096

List of positive integer factors of 1096 that divides 1096 without a remainder.

1, 2, 4, 8, 137, 274, 548, 1096

Least Common Multiple of 1090 and 1096 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 1096, than apply into the LCM equation.

GCF(1090,1096) = 2
LCM(1090,1096) = ( 1090 × 1096) / 2
LCM(1090,1096) = 1194640 / 2
LCM(1090,1096) = 597320

Properties of LCM 1090 and 1096

(i) The LCM of 1096 and 1090 is associative

LCM of 1090 and 1096 = LCM of 1096 and 1090

Related Least Common Multiples of 1090

Related Least Common Multiples of 1096

Frequently Asked Questions on LCM of 1090 and 1096

1. What is the LCM of 1090 and 1096?

Answer: LCM of 1090 and 1096 is 597320.

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 1096?

Answer: Factors of 1096 are 1, 2, 4, 8, 137, 274, 548, 1096. There are 8 integers that are factors of 1096. The greatest factor of 1096 is 1096.

4. How to Find the LCM of 1090 and 1096?

Answer:

Least Common Multiple of 1090 and 1096 = 597320

Step 1: Find the prime factorization of 1090

1090 = 2 x 5 x 109

Step 2: Find the prime factorization of 1096

1096 = 2 x 2 x 2 x 137

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

LCM = 597320 = 2 x 2 x 2 x 5 x 109 x 137

Step 4: Therefore, the least common multiple of 1090 and 1096 is 597320.