Least Common Multiple of 4025 and 4032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4025 and 4032 the smallest integer that is 2318400 that is divisible by both numbers.

Least Common Multiple (LCM) of 4025 and 4032 is 2318400.

LCM(4025,4032) = 2318400

LCM of 4025 and 4032

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

LCM of:
and

Least Common Multiple of 4025 and 4032

LCM of 4025 and 4032 is 2318400

Least common multiple can be found by multiplying the highest exponent prime factors of 4025 and 4032. First we will calculate the prime factors of 4025 and 4032.

Prime Factorization of 4025


5 4025
5 805
7 161
23 23
1

Prime factors of 4025 are 5, 7,23. Prime factorization of 4025 in exponential form is:

4025 = 52×71×231

Prime Factorization of 4032


2 4032
2 2016
2 1008
2 504
2 252
2 126
3 63
3 21
7 7
1

Prime factors of 4032 are 2, 3,7. Prime factorization of 4032 in exponential form is:

4032 = 26×32×71

Now multiplying the highest exponent prime factors to calculate the LCM of 4025 and 4032.

LCM(4025,4032) = 26×32×52×71×231
LCM(4025,4032) = 2318400

Factors of 4025

List of positive integer factors of 4025 that divides 4025 without a remainder.

1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025

Factors of 4032

List of positive integer factors of 4032 that divides 4032 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 144, 168, 192, 224, 252, 288, 336, 448, 504, 576, 672, 1008, 1344, 2016, 4032

Least Common Multiple of 4025 and 4032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4025 and 4032, than apply into the LCM equation.

GCF(4025,4032) = 7
LCM(4025,4032) = ( 4025 × 4032) / 7
LCM(4025,4032) = 16228800 / 7
LCM(4025,4032) = 2318400

Properties of LCM 4025 and 4032

(i) The LCM of 4032 and 4025 is associative

LCM of 4025 and 4032 = LCM of 4032 and 4025

Related Least Common Multiples of 4025

Related Least Common Multiples of 4032

Frequently Asked Questions on LCM of 4025 and 4032

1. What is the LCM of 4025 and 4032?

Answer: LCM of 4025 and 4032 is 2318400.

2. What are the Factors of 4025?

Answer: Factors of 4025 are 1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025. There are 12 integers that are factors of 4025. The greatest factor of 4025 is 4025.

3. What are the Factors of 4032?

Answer: Factors of 4032 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 144, 168, 192, 224, 252, 288, 336, 448, 504, 576, 672, 1008, 1344, 2016, 4032. There are 42 integers that are factors of 4032. The greatest factor of 4032 is 4032.

4. How to Find the LCM of 4025 and 4032?

Answer:

Least Common Multiple of 4025 and 4032 = 2318400

Step 1: Find the prime factorization of 4025

4025 = 5 x 5 x 7 x 23

Step 2: Find the prime factorization of 4032

4032 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7

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

LCM = 2318400 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 23

Step 4: Therefore, the least common multiple of 4025 and 4032 is 2318400.