Least Common Multiple of 1463 and 1468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1463 and 1468 the smallest integer that is 2147684 that is divisible by both numbers.

Least Common Multiple (LCM) of 1463 and 1468 is 2147684.

LCM(1463,1468) = 2147684

LCM of 1463 and 1468

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

LCM of:
and

Least Common Multiple of 1463 and 1468

LCM of 1463 and 1468 is 2147684

Least common multiple can be found by multiplying the highest exponent prime factors of 1463 and 1468. First we will calculate the prime factors of 1463 and 1468.

Prime Factorization of 1463


7 1463
11 209
19 19
1

Prime factors of 1463 are 7, 11,19. Prime factorization of 1463 in exponential form is:

1463 = 71×111×191

Prime Factorization of 1468


2 1468
2 734
367 367
1

Prime factors of 1468 are 2,367. Prime factorization of 1468 in exponential form is:

1468 = 22×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 1463 and 1468.

LCM(1463,1468) = 22×71×111×191×3671
LCM(1463,1468) = 2147684

Factors of 1463

List of positive integer factors of 1463 that divides 1463 without a remainder.

1, 7, 11, 19, 77, 133, 209, 1463

Factors of 1468

List of positive integer factors of 1468 that divides 1468 without a remainder.

1, 2, 4, 367, 734, 1468

Least Common Multiple of 1463 and 1468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1463 and 1468, than apply into the LCM equation.

GCF(1463,1468) = 1
LCM(1463,1468) = ( 1463 × 1468) / 1
LCM(1463,1468) = 2147684 / 1
LCM(1463,1468) = 2147684

Properties of LCM 1463 and 1468

(i) The LCM of 1468 and 1463 is associative

LCM of 1463 and 1468 = LCM of 1468 and 1463

Related Least Common Multiples of 1463

Related Least Common Multiples of 1468

Frequently Asked Questions on LCM of 1463 and 1468

1. What is the LCM of 1463 and 1468?

Answer: LCM of 1463 and 1468 is 2147684.

2. What are the Factors of 1463?

Answer: Factors of 1463 are 1, 7, 11, 19, 77, 133, 209, 1463. There are 8 integers that are factors of 1463. The greatest factor of 1463 is 1463.

3. What are the Factors of 1468?

Answer: Factors of 1468 are 1, 2, 4, 367, 734, 1468. There are 6 integers that are factors of 1468. The greatest factor of 1468 is 1468.

4. How to Find the LCM of 1463 and 1468?

Answer:

Least Common Multiple of 1463 and 1468 = 2147684

Step 1: Find the prime factorization of 1463

1463 = 7 x 11 x 19

Step 2: Find the prime factorization of 1468

1468 = 2 x 2 x 367

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

LCM = 2147684 = 2 x 2 x 7 x 11 x 19 x 367

Step 4: Therefore, the least common multiple of 1463 and 1468 is 2147684.