Least Common Multiple of 9086 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 9086 and 9090 the smallest integer that is 41295870 that is divisible by both numbers.

Least Common Multiple (LCM) of 9086 and 9090 is 41295870.

LCM(9086,9090) = 41295870

LCM of 9086 and 9090

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

LCM of:
and

Least Common Multiple of 9086 and 9090

LCM of 9086 and 9090 is 41295870

Least common multiple can be found by multiplying the highest exponent prime factors of 9086 and 9090. First we will calculate the prime factors of 9086 and 9090.

Prime Factorization of 9086


2 9086
7 4543
11 649
59 59
1

Prime factors of 9086 are 2, 7, 11,59. Prime factorization of 9086 in exponential form is:

9086 = 21×71×111×591

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 9086 and 9090.

LCM(9086,9090) = 21×32×51×71×111×591×1011
LCM(9086,9090) = 41295870

Factors of 9086

List of positive integer factors of 9086 that divides 9086 without a remainder.

1, 2, 7, 11, 14, 22, 59, 77, 118, 154, 413, 649, 826, 1298, 4543, 9086

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 9086 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 9086 and 9090, than apply into the LCM equation.

GCF(9086,9090) = 2
LCM(9086,9090) = ( 9086 × 9090) / 2
LCM(9086,9090) = 82591740 / 2
LCM(9086,9090) = 41295870

Properties of LCM 9086 and 9090

(i) The LCM of 9090 and 9086 is associative

LCM of 9086 and 9090 = LCM of 9090 and 9086

Related Least Common Multiples of 9086

Related Least Common Multiples of 9090

Frequently Asked Questions on LCM of 9086 and 9090

1. What is the LCM of 9086 and 9090?

Answer: LCM of 9086 and 9090 is 41295870.

2. What are the Factors of 9086?

Answer: Factors of 9086 are 1, 2, 7, 11, 14, 22, 59, 77, 118, 154, 413, 649, 826, 1298, 4543, 9086. There are 16 integers that are factors of 9086. The greatest factor of 9086 is 9086.

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 9086 and 9090?

Answer:

Least Common Multiple of 9086 and 9090 = 41295870

Step 1: Find the prime factorization of 9086

9086 = 2 x 7 x 11 x 59

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 = 41295870 = 2 x 3 x 3 x 5 x 7 x 11 x 59 x 101

Step 4: Therefore, the least common multiple of 9086 and 9090 is 41295870.