Least Common Multiple of 9089 and 9090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9089 and 9090 the smallest integer that is 82619010 that is divisible by both numbers.

Least Common Multiple (LCM) of 9089 and 9090 is 82619010.

LCM(9089,9090) = 82619010

LCM of 9089 and 9090

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

LCM of:
and

Least Common Multiple of 9089 and 9090

LCM of 9089 and 9090 is 82619010

Least common multiple can be found by multiplying the highest exponent prime factors of 9089 and 9090. First we will calculate the prime factors of 9089 and 9090.

Prime Factorization of 9089


61 9089
149 149
1

Prime factors of 9089 are 61,149. Prime factorization of 9089 in exponential form is:

9089 = 611×1491

Prime Factorization of 9090


2 9090
3 4545
3 1515
5 505
101 101
1

Prime factors of 9090 are 2, 3, 5,101. Prime factorization of 9090 in exponential form is:

9090 = 21×32×51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 9089 and 9090.

LCM(9089,9090) = 21×32×51×611×1011×1491
LCM(9089,9090) = 82619010

Factors of 9089

List of positive integer factors of 9089 that divides 9089 without a remainder.

1, 61, 149, 9089

Factors of 9090

List of positive integer factors of 9090 that divides 9090 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 101, 202, 303, 505, 606, 909, 1010, 1515, 1818, 3030, 4545, 9090

Least Common Multiple of 9089 and 9090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9089 and 9090, than apply into the LCM equation.

GCF(9089,9090) = 1
LCM(9089,9090) = ( 9089 × 9090) / 1
LCM(9089,9090) = 82619010 / 1
LCM(9089,9090) = 82619010

Properties of LCM 9089 and 9090

(i) The LCM of 9090 and 9089 is associative

LCM of 9089 and 9090 = LCM of 9090 and 9089

Related Least Common Multiples of 9089

Related Least Common Multiples of 9090

Frequently Asked Questions on LCM of 9089 and 9090

1. What is the LCM of 9089 and 9090?

Answer: LCM of 9089 and 9090 is 82619010.

2. What are the Factors of 9089?

Answer: Factors of 9089 are 1, 61, 149, 9089. There are 4 integers that are factors of 9089. The greatest factor of 9089 is 9089.

3. What are the Factors of 9090?

Answer: Factors of 9090 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 101, 202, 303, 505, 606, 909, 1010, 1515, 1818, 3030, 4545, 9090. There are 24 integers that are factors of 9090. The greatest factor of 9090 is 9090.

4. How to Find the LCM of 9089 and 9090?

Answer:

Least Common Multiple of 9089 and 9090 = 82619010

Step 1: Find the prime factorization of 9089

9089 = 61 x 149

Step 2: Find the prime factorization of 9090

9090 = 2 x 3 x 3 x 5 x 101

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

LCM = 82619010 = 2 x 3 x 3 x 5 x 61 x 101 x 149

Step 4: Therefore, the least common multiple of 9089 and 9090 is 82619010.