Least Common Multiple of 434 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 434 and 440 the smallest integer that is 95480 that is divisible by both numbers.

Least Common Multiple (LCM) of 434 and 440 is 95480.

LCM(434,440) = 95480

LCM of 434 and 440

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

LCM of:
and

Least Common Multiple of 434 and 440

LCM of 434 and 440 is 95480

Least common multiple can be found by multiplying the highest exponent prime factors of 434 and 440. First we will calculate the prime factors of 434 and 440.

Prime Factorization of 434


2 434
7 217
31 31
1

Prime factors of 434 are 2, 7,31. Prime factorization of 434 in exponential form is:

434 = 21×71×311

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 434 and 440.

LCM(434,440) = 23×51×71×111×311
LCM(434,440) = 95480

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

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 434 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 434 and 440, than apply into the LCM equation.

GCF(434,440) = 2
LCM(434,440) = ( 434 × 440) / 2
LCM(434,440) = 190960 / 2
LCM(434,440) = 95480

Properties of LCM 434 and 440

(i) The LCM of 440 and 434 is associative

LCM of 434 and 440 = LCM of 440 and 434

Related Least Common Multiples of 434

Related Least Common Multiples of 440

Frequently Asked Questions on LCM of 434 and 440

1. What is the LCM of 434 and 440?

Answer: LCM of 434 and 440 is 95480.

2. What are the Factors of 434?

Answer: Factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434. There are 8 integers that are factors of 434. The greatest factor of 434 is 434.

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 434 and 440?

Answer:

Least Common Multiple of 434 and 440 = 95480

Step 1: Find the prime factorization of 434

434 = 2 x 7 x 31

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 = 95480 = 2 x 2 x 2 x 5 x 7 x 11 x 31

Step 4: Therefore, the least common multiple of 434 and 440 is 95480.