Least Common Multiple of 2025 and 2033

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 2025 and 2033 the smallest integer that is 4116825 that is divisible by both numbers.

Least Common Multiple (LCM) of 2025 and 2033 is 4116825.

LCM(2025,2033) = 4116825

LCM of 2025 and 2033

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

LCM of:
and

Least Common Multiple of 2025 and 2033

LCM of 2025 and 2033 is 4116825

Least common multiple can be found by multiplying the highest exponent prime factors of 2025 and 2033. First we will calculate the prime factors of 2025 and 2033.

Prime Factorization of 2025


3 2025
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 2025 are 3,5. Prime factorization of 2025 in exponential form is:

2025 = 34×52

Prime Factorization of 2033


19 2033
107 107
1

Prime factors of 2033 are 19,107. Prime factorization of 2033 in exponential form is:

2033 = 191×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 2025 and 2033.

LCM(2025,2033) = 34×52×191×1071
LCM(2025,2033) = 4116825

Factors of 2025

List of positive integer factors of 2025 that divides 2025 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025

Factors of 2033

List of positive integer factors of 2033 that divides 2033 without a remainder.

1, 19, 107, 2033

Least Common Multiple of 2025 and 2033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2025 and 2033, than apply into the LCM equation.

GCF(2025,2033) = 1
LCM(2025,2033) = ( 2025 × 2033) / 1
LCM(2025,2033) = 4116825 / 1
LCM(2025,2033) = 4116825

Properties of LCM 2025 and 2033

(i) The LCM of 2033 and 2025 is associative

LCM of 2025 and 2033 = LCM of 2033 and 2025

Frequently Asked Questions on LCM of 2025 and 2033

1. What is the LCM of 2025 and 2033?

Answer: LCM of 2025 and 2033 is 4116825.

2. What are the Factors of 2025?

Answer: Factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025. There are 15 integers that are factors of 2025. The greatest factor of 2025 is 2025.

3. What are the Factors of 2033?

Answer: Factors of 2033 are 1, 19, 107, 2033. There are 4 integers that are factors of 2033. The greatest factor of 2033 is 2033.

4. How to Find the LCM of 2025 and 2033?

Answer:

Least Common Multiple of 2025 and 2033 = 4116825

Step 1: Find the prime factorization of 2025

2025 = 3 x 3 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 2033

2033 = 19 x 107

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

LCM = 4116825 = 3 x 3 x 3 x 3 x 5 x 5 x 19 x 107

Step 4: Therefore, the least common multiple of 2025 and 2033 is 4116825.