Least Common Multiple of 1445 and 1451

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 1451 the smallest integer that is 2096695 that is divisible by both numbers.

Least Common Multiple (LCM) of 1445 and 1451 is 2096695.

LCM(1445,1451) = 2096695

LCM of 1445 and 1451

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

LCM of:
and

Least Common Multiple of 1445 and 1451

LCM of 1445 and 1451 is 2096695

Least common multiple can be found by multiplying the highest exponent prime factors of 1445 and 1451. First we will calculate the prime factors of 1445 and 1451.

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 1451


1451 1451
1

Prime factors of 1451 are 1451. Prime factorization of 1451 in exponential form is:

1451 = 14511

Now multiplying the highest exponent prime factors to calculate the LCM of 1445 and 1451.

LCM(1445,1451) = 51×172×14511
LCM(1445,1451) = 2096695

Factors of 1445

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

1, 5, 17, 85, 289, 1445

Factors of 1451

List of positive integer factors of 1451 that divides 1451 without a remainder.

1, 1451

Least Common Multiple of 1445 and 1451 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 1451, than apply into the LCM equation.

GCF(1445,1451) = 1
LCM(1445,1451) = ( 1445 × 1451) / 1
LCM(1445,1451) = 2096695 / 1
LCM(1445,1451) = 2096695

Properties of LCM 1445 and 1451

(i) The LCM of 1451 and 1445 is associative

LCM of 1445 and 1451 = LCM of 1451 and 1445

Related Least Common Multiples of 1445

Related Least Common Multiples of 1451

Frequently Asked Questions on LCM of 1445 and 1451

1. What is the LCM of 1445 and 1451?

Answer: LCM of 1445 and 1451 is 2096695.

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 1451?

Answer: Factors of 1451 are 1, 1451. There are 2 integers that are factors of 1451. The greatest factor of 1451 is 1451.

4. How to Find the LCM of 1445 and 1451?

Answer:

Least Common Multiple of 1445 and 1451 = 2096695

Step 1: Find the prime factorization of 1445

1445 = 5 x 17 x 17

Step 2: Find the prime factorization of 1451

1451 = 1451

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

LCM = 2096695 = 5 x 17 x 17 x 1451

Step 4: Therefore, the least common multiple of 1445 and 1451 is 2096695.