Least Common Multiple of 436 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 436 and 441 the smallest integer that is 192276 that is divisible by both numbers.

Least Common Multiple (LCM) of 436 and 441 is 192276.

LCM(436,441) = 192276

LCM of 436 and 441

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

LCM of:
and

Least Common Multiple of 436 and 441

LCM of 436 and 441 is 192276

Least common multiple can be found by multiplying the highest exponent prime factors of 436 and 441. First we will calculate the prime factors of 436 and 441.

Prime Factorization of 436


2 436
2 218
109 109
1

Prime factors of 436 are 2,109. Prime factorization of 436 in exponential form is:

436 = 22×1091

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 436 and 441.

LCM(436,441) = 22×32×72×1091
LCM(436,441) = 192276

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

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 436 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 436 and 441, than apply into the LCM equation.

GCF(436,441) = 1
LCM(436,441) = ( 436 × 441) / 1
LCM(436,441) = 192276 / 1
LCM(436,441) = 192276

Properties of LCM 436 and 441

(i) The LCM of 441 and 436 is associative

LCM of 436 and 441 = LCM of 441 and 436

Related Least Common Multiples of 436

Related Least Common Multiples of 441

Frequently Asked Questions on LCM of 436 and 441

1. What is the LCM of 436 and 441?

Answer: LCM of 436 and 441 is 192276.

2. What are the Factors of 436?

Answer: Factors of 436 are 1, 2, 4, 109, 218, 436. There are 6 integers that are factors of 436. The greatest factor of 436 is 436.

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 436 and 441?

Answer:

Least Common Multiple of 436 and 441 = 192276

Step 1: Find the prime factorization of 436

436 = 2 x 2 x 109

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 = 192276 = 2 x 2 x 3 x 3 x 7 x 7 x 109

Step 4: Therefore, the least common multiple of 436 and 441 is 192276.