Least Common Multiple of 435 and 440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 435 and 440 the smallest integer that is 38280 that is divisible by both numbers.

Least Common Multiple (LCM) of 435 and 440 is 38280.

LCM(435,440) = 38280

LCM of 435 and 440

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

LCM of:
and

Least Common Multiple of 435 and 440

LCM of 435 and 440 is 38280

Least common multiple can be found by multiplying the highest exponent prime factors of 435 and 440. First we will calculate the prime factors of 435 and 440.

Prime Factorization of 435


3 435
5 145
29 29
1

Prime factors of 435 are 3, 5,29. Prime factorization of 435 in exponential form is:

435 = 31×51×291

Prime Factorization of 440


2 440
2 220
2 110
5 55
11 11
1

Prime factors of 440 are 2, 5,11. Prime factorization of 440 in exponential form is:

440 = 23×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 435 and 440.

LCM(435,440) = 23×31×51×111×291
LCM(435,440) = 38280

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Least Common Multiple of 435 and 440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 435 and 440, than apply into the LCM equation.

GCF(435,440) = 5
LCM(435,440) = ( 435 × 440) / 5
LCM(435,440) = 191400 / 5
LCM(435,440) = 38280

Properties of LCM 435 and 440

(i) The LCM of 440 and 435 is associative

LCM of 435 and 440 = LCM of 440 and 435

Related Least Common Multiples of 435

Related Least Common Multiples of 440

Frequently Asked Questions on LCM of 435 and 440

1. What is the LCM of 435 and 440?

Answer: LCM of 435 and 440 is 38280.

2. What are the Factors of 435?

Answer: Factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435. There are 8 integers that are factors of 435. The greatest factor of 435 is 435.

3. What are the Factors of 440?

Answer: Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440. There are 16 integers that are factors of 440. The greatest factor of 440 is 440.

4. How to Find the LCM of 435 and 440?

Answer:

Least Common Multiple of 435 and 440 = 38280

Step 1: Find the prime factorization of 435

435 = 3 x 5 x 29

Step 2: Find the prime factorization of 440

440 = 2 x 2 x 2 x 5 x 11

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

LCM = 38280 = 2 x 2 x 2 x 3 x 5 x 11 x 29

Step 4: Therefore, the least common multiple of 435 and 440 is 38280.