Least Common Multiple of 435 and 441

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 441 the smallest integer that is 63945 that is divisible by both numbers.

Least Common Multiple (LCM) of 435 and 441 is 63945.

LCM(435,441) = 63945

LCM of 435 and 441

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

LCM of:
and

Least Common Multiple of 435 and 441

LCM of 435 and 441 is 63945

Least common multiple can be found by multiplying the highest exponent prime factors of 435 and 441. First we will calculate the prime factors of 435 and 441.

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 441


3 441
3 147
7 49
7 7
1

Prime factors of 441 are 3,7. Prime factorization of 441 in exponential form is:

441 = 32×72

Now multiplying the highest exponent prime factors to calculate the LCM of 435 and 441.

LCM(435,441) = 32×51×72×291
LCM(435,441) = 63945

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 441

List of positive integer factors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Least Common Multiple of 435 and 441 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 441, than apply into the LCM equation.

GCF(435,441) = 3
LCM(435,441) = ( 435 × 441) / 3
LCM(435,441) = 191835 / 3
LCM(435,441) = 63945

Properties of LCM 435 and 441

(i) The LCM of 441 and 435 is associative

LCM of 435 and 441 = LCM of 441 and 435

Related Least Common Multiples of 435

Related Least Common Multiples of 441

Frequently Asked Questions on LCM of 435 and 441

1. What is the LCM of 435 and 441?

Answer: LCM of 435 and 441 is 63945.

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 441?

Answer: Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441. There are 9 integers that are factors of 441. The greatest factor of 441 is 441.

4. How to Find the LCM of 435 and 441?

Answer:

Least Common Multiple of 435 and 441 = 63945

Step 1: Find the prime factorization of 435

435 = 3 x 5 x 29

Step 2: Find the prime factorization of 441

441 = 3 x 3 x 7 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 = 63945 = 3 x 3 x 5 x 7 x 7 x 29

Step 4: Therefore, the least common multiple of 435 and 441 is 63945.