Least Common Multiple of 11025 and 11026

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11025 and 11026 the smallest integer that is 121561650 that is divisible by both numbers.

Least Common Multiple (LCM) of 11025 and 11026 is 121561650.

LCM(11025,11026) = 121561650

LCM of 11025 and 11026

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

LCM of:
and

Least Common Multiple of 11025 and 11026

LCM of 11025 and 11026 is 121561650

Least common multiple can be found by multiplying the highest exponent prime factors of 11025 and 11026. First we will calculate the prime factors of 11025 and 11026.

Prime Factorization of 11025


3 11025
3 3675
5 1225
5 245
7 49
7 7
1

Prime factors of 11025 are 3, 5,7. Prime factorization of 11025 in exponential form is:

11025 = 32×52×72

Prime Factorization of 11026


2 11026
37 5513
149 149
1

Prime factors of 11026 are 2, 37,149. Prime factorization of 11026 in exponential form is:

11026 = 21×371×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 11025 and 11026.

LCM(11025,11026) = 21×32×52×72×371×1491
LCM(11025,11026) = 121561650

Factors of 11025

List of positive integer factors of 11025 that divides 11025 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675, 11025

Factors of 11026

List of positive integer factors of 11026 that divides 11026 without a remainder.

1, 2, 37, 74, 149, 298, 5513, 11026

Least Common Multiple of 11025 and 11026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11025 and 11026, than apply into the LCM equation.

GCF(11025,11026) = 1
LCM(11025,11026) = ( 11025 × 11026) / 1
LCM(11025,11026) = 121561650 / 1
LCM(11025,11026) = 121561650

Properties of LCM 11025 and 11026

(i) The LCM of 11026 and 11025 is associative

LCM of 11025 and 11026 = LCM of 11026 and 11025

Related Least Common Multiples of 11025

Related Least Common Multiples of 11026

Frequently Asked Questions on LCM of 11025 and 11026

1. What is the LCM of 11025 and 11026?

Answer: LCM of 11025 and 11026 is 121561650.

2. What are the Factors of 11025?

Answer: Factors of 11025 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675, 11025. There are 27 integers that are factors of 11025. The greatest factor of 11025 is 11025.

3. What are the Factors of 11026?

Answer: Factors of 11026 are 1, 2, 37, 74, 149, 298, 5513, 11026. There are 8 integers that are factors of 11026. The greatest factor of 11026 is 11026.

4. How to Find the LCM of 11025 and 11026?

Answer:

Least Common Multiple of 11025 and 11026 = 121561650

Step 1: Find the prime factorization of 11025

11025 = 3 x 3 x 5 x 5 x 7 x 7

Step 2: Find the prime factorization of 11026

11026 = 2 x 37 x 149

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

LCM = 121561650 = 2 x 3 x 3 x 5 x 5 x 7 x 7 x 37 x 149

Step 4: Therefore, the least common multiple of 11025 and 11026 is 121561650.