Least Common Multiple of 1445 and 1446

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 1446 the smallest integer that is 2089470 that is divisible by both numbers.

Least Common Multiple (LCM) of 1445 and 1446 is 2089470.

LCM(1445,1446) = 2089470

LCM of 1445 and 1446

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

LCM of:
and

Least Common Multiple of 1445 and 1446

LCM of 1445 and 1446 is 2089470

Least common multiple can be found by multiplying the highest exponent prime factors of 1445 and 1446. First we will calculate the prime factors of 1445 and 1446.

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 1446


2 1446
3 723
241 241
1

Prime factors of 1446 are 2, 3,241. Prime factorization of 1446 in exponential form is:

1446 = 21×31×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 1445 and 1446.

LCM(1445,1446) = 21×31×51×172×2411
LCM(1445,1446) = 2089470

Factors of 1445

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

1, 5, 17, 85, 289, 1445

Factors of 1446

List of positive integer factors of 1446 that divides 1446 without a remainder.

1, 2, 3, 6, 241, 482, 723, 1446

Least Common Multiple of 1445 and 1446 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 1446, than apply into the LCM equation.

GCF(1445,1446) = 1
LCM(1445,1446) = ( 1445 × 1446) / 1
LCM(1445,1446) = 2089470 / 1
LCM(1445,1446) = 2089470

Properties of LCM 1445 and 1446

(i) The LCM of 1446 and 1445 is associative

LCM of 1445 and 1446 = LCM of 1446 and 1445

Related Least Common Multiples of 1445

Related Least Common Multiples of 1446

Frequently Asked Questions on LCM of 1445 and 1446

1. What is the LCM of 1445 and 1446?

Answer: LCM of 1445 and 1446 is 2089470.

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 1446?

Answer: Factors of 1446 are 1, 2, 3, 6, 241, 482, 723, 1446. There are 8 integers that are factors of 1446. The greatest factor of 1446 is 1446.

4. How to Find the LCM of 1445 and 1446?

Answer:

Least Common Multiple of 1445 and 1446 = 2089470

Step 1: Find the prime factorization of 1445

1445 = 5 x 17 x 17

Step 2: Find the prime factorization of 1446

1446 = 2 x 3 x 241

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

LCM = 2089470 = 2 x 3 x 5 x 17 x 17 x 241

Step 4: Therefore, the least common multiple of 1445 and 1446 is 2089470.