Least Common Multiple of 9088 and 9092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9088 and 9092 the smallest integer that is 20657024 that is divisible by both numbers.

Least Common Multiple (LCM) of 9088 and 9092 is 20657024.

LCM(9088,9092) = 20657024

LCM of 9088 and 9092

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

LCM of:
and

Least Common Multiple of 9088 and 9092

LCM of 9088 and 9092 is 20657024

Least common multiple can be found by multiplying the highest exponent prime factors of 9088 and 9092. First we will calculate the prime factors of 9088 and 9092.

Prime Factorization of 9088


2 9088
2 4544
2 2272
2 1136
2 568
2 284
2 142
71 71
1

Prime factors of 9088 are 2,71. Prime factorization of 9088 in exponential form is:

9088 = 27×711

Prime Factorization of 9092


2 9092
2 4546
2273 2273
1

Prime factors of 9092 are 2,2273. Prime factorization of 9092 in exponential form is:

9092 = 22×22731

Now multiplying the highest exponent prime factors to calculate the LCM of 9088 and 9092.

LCM(9088,9092) = 27×711×22731
LCM(9088,9092) = 20657024

Factors of 9088

List of positive integer factors of 9088 that divides 9088 without a remainder.

1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 284, 568, 1136, 2272, 4544, 9088

Factors of 9092

List of positive integer factors of 9092 that divides 9092 without a remainder.

1, 2, 4, 2273, 4546, 9092

Least Common Multiple of 9088 and 9092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9088 and 9092, than apply into the LCM equation.

GCF(9088,9092) = 4
LCM(9088,9092) = ( 9088 × 9092) / 4
LCM(9088,9092) = 82628096 / 4
LCM(9088,9092) = 20657024

Properties of LCM 9088 and 9092

(i) The LCM of 9092 and 9088 is associative

LCM of 9088 and 9092 = LCM of 9092 and 9088

Related Least Common Multiples of 9088

Related Least Common Multiples of 9092

Frequently Asked Questions on LCM of 9088 and 9092

1. What is the LCM of 9088 and 9092?

Answer: LCM of 9088 and 9092 is 20657024.

2. What are the Factors of 9088?

Answer: Factors of 9088 are 1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 284, 568, 1136, 2272, 4544, 9088. There are 16 integers that are factors of 9088. The greatest factor of 9088 is 9088.

3. What are the Factors of 9092?

Answer: Factors of 9092 are 1, 2, 4, 2273, 4546, 9092. There are 6 integers that are factors of 9092. The greatest factor of 9092 is 9092.

4. How to Find the LCM of 9088 and 9092?

Answer:

Least Common Multiple of 9088 and 9092 = 20657024

Step 1: Find the prime factorization of 9088

9088 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 71

Step 2: Find the prime factorization of 9092

9092 = 2 x 2 x 2273

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

LCM = 20657024 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 71 x 2273

Step 4: Therefore, the least common multiple of 9088 and 9092 is 20657024.