Least Common Multiple of 1445 and 1448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1445 and 1448 the smallest integer that is 2092360 that is divisible by both numbers.

Least Common Multiple (LCM) of 1445 and 1448 is 2092360.

LCM(1445,1448) = 2092360

LCM of 1445 and 1448

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

LCM of:
and

Least Common Multiple of 1445 and 1448

LCM of 1445 and 1448 is 2092360

Least common multiple can be found by multiplying the highest exponent prime factors of 1445 and 1448. First we will calculate the prime factors of 1445 and 1448.

Prime Factorization of 1445


5 1445
17 289
17 17
1

Prime factors of 1445 are 5,17. Prime factorization of 1445 in exponential form is:

1445 = 51×172

Prime Factorization of 1448


2 1448
2 724
2 362
181 181
1

Prime factors of 1448 are 2,181. Prime factorization of 1448 in exponential form is:

1448 = 23×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 1445 and 1448.

LCM(1445,1448) = 23×51×172×1811
LCM(1445,1448) = 2092360

Factors of 1445

List of positive integer factors of 1445 that divides 1445 without a remainder.

1, 5, 17, 85, 289, 1445

Factors of 1448

List of positive integer factors of 1448 that divides 1448 without a remainder.

1, 2, 4, 8, 181, 362, 724, 1448

Least Common Multiple of 1445 and 1448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1445 and 1448, than apply into the LCM equation.

GCF(1445,1448) = 1
LCM(1445,1448) = ( 1445 × 1448) / 1
LCM(1445,1448) = 2092360 / 1
LCM(1445,1448) = 2092360

Properties of LCM 1445 and 1448

(i) The LCM of 1448 and 1445 is associative

LCM of 1445 and 1448 = LCM of 1448 and 1445

Related Least Common Multiples of 1445

Related Least Common Multiples of 1448

Frequently Asked Questions on LCM of 1445 and 1448

1. What is the LCM of 1445 and 1448?

Answer: LCM of 1445 and 1448 is 2092360.

2. What are the Factors of 1445?

Answer: Factors of 1445 are 1, 5, 17, 85, 289, 1445. There are 6 integers that are factors of 1445. The greatest factor of 1445 is 1445.

3. What are the Factors of 1448?

Answer: Factors of 1448 are 1, 2, 4, 8, 181, 362, 724, 1448. There are 8 integers that are factors of 1448. The greatest factor of 1448 is 1448.

4. How to Find the LCM of 1445 and 1448?

Answer:

Least Common Multiple of 1445 and 1448 = 2092360

Step 1: Find the prime factorization of 1445

1445 = 5 x 17 x 17

Step 2: Find the prime factorization of 1448

1448 = 2 x 2 x 2 x 181

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

LCM = 2092360 = 2 x 2 x 2 x 5 x 17 x 17 x 181

Step 4: Therefore, the least common multiple of 1445 and 1448 is 2092360.