Least Common Multiple of 440 and 445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 440 and 445 the smallest integer that is 39160 that is divisible by both numbers.

Least Common Multiple (LCM) of 440 and 445 is 39160.

LCM(440,445) = 39160

LCM of 440 and 445

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

LCM of:
and

Least Common Multiple of 440 and 445

LCM of 440 and 445 is 39160

Least common multiple can be found by multiplying the highest exponent prime factors of 440 and 445. First we will calculate the prime factors of 440 and 445.

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

Prime Factorization of 445


5 445
89 89
1

Prime factors of 445 are 5,89. Prime factorization of 445 in exponential form is:

445 = 51×891

Now multiplying the highest exponent prime factors to calculate the LCM of 440 and 445.

LCM(440,445) = 23×51×111×891
LCM(440,445) = 39160

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

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Least Common Multiple of 440 and 445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 440 and 445, than apply into the LCM equation.

GCF(440,445) = 5
LCM(440,445) = ( 440 × 445) / 5
LCM(440,445) = 195800 / 5
LCM(440,445) = 39160

Properties of LCM 440 and 445

(i) The LCM of 445 and 440 is associative

LCM of 440 and 445 = LCM of 445 and 440

Related Least Common Multiples of 440

Related Least Common Multiples of 445

Frequently Asked Questions on LCM of 440 and 445

1. What is the LCM of 440 and 445?

Answer: LCM of 440 and 445 is 39160.

2. 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.

3. What are the Factors of 445?

Answer: Factors of 445 are 1, 5, 89, 445. There are 4 integers that are factors of 445. The greatest factor of 445 is 445.

4. How to Find the LCM of 440 and 445?

Answer:

Least Common Multiple of 440 and 445 = 39160

Step 1: Find the prime factorization of 440

440 = 2 x 2 x 2 x 5 x 11

Step 2: Find the prime factorization of 445

445 = 5 x 89

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

LCM = 39160 = 2 x 2 x 2 x 5 x 11 x 89

Step 4: Therefore, the least common multiple of 440 and 445 is 39160.