Least Common Multiple of 436 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 436 and 440 the smallest integer that is 47960 that is divisible by both numbers.

Least Common Multiple (LCM) of 436 and 440 is 47960.

LCM(436,440) = 47960

LCM of 436 and 440

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

LCM of:
and

Least Common Multiple of 436 and 440

LCM of 436 and 440 is 47960

Least common multiple can be found by multiplying the highest exponent prime factors of 436 and 440. First we will calculate the prime factors of 436 and 440.

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 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 436 and 440.

LCM(436,440) = 23×51×111×1091
LCM(436,440) = 47960

Factors of 436

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

1, 2, 4, 109, 218, 436

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 436 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 436 and 440, than apply into the LCM equation.

GCF(436,440) = 4
LCM(436,440) = ( 436 × 440) / 4
LCM(436,440) = 191840 / 4
LCM(436,440) = 47960

Properties of LCM 436 and 440

(i) The LCM of 440 and 436 is associative

LCM of 436 and 440 = LCM of 440 and 436

Related Least Common Multiples of 436

Related Least Common Multiples of 440

Frequently Asked Questions on LCM of 436 and 440

1. What is the LCM of 436 and 440?

Answer: LCM of 436 and 440 is 47960.

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 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 436 and 440?

Answer:

Least Common Multiple of 436 and 440 = 47960

Step 1: Find the prime factorization of 436

436 = 2 x 2 x 109

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 = 47960 = 2 x 2 x 2 x 5 x 11 x 109

Step 4: Therefore, the least common multiple of 436 and 440 is 47960.