Least Common Multiple of 1468 and 1472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1468 and 1472 the smallest integer that is 540224 that is divisible by both numbers.

Least Common Multiple (LCM) of 1468 and 1472 is 540224.

LCM(1468,1472) = 540224

LCM of 1468 and 1472

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

LCM of:
and

Least Common Multiple of 1468 and 1472

LCM of 1468 and 1472 is 540224

Least common multiple can be found by multiplying the highest exponent prime factors of 1468 and 1472. First we will calculate the prime factors of 1468 and 1472.

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

Prime Factorization of 1472


2 1472
2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 1472 are 2,23. Prime factorization of 1472 in exponential form is:

1472 = 26×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1468 and 1472.

LCM(1468,1472) = 26×231×3671
LCM(1468,1472) = 540224

Factors of 1468

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

1, 2, 4, 367, 734, 1468

Factors of 1472

List of positive integer factors of 1472 that divides 1472 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472

Least Common Multiple of 1468 and 1472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1468 and 1472, than apply into the LCM equation.

GCF(1468,1472) = 4
LCM(1468,1472) = ( 1468 × 1472) / 4
LCM(1468,1472) = 2160896 / 4
LCM(1468,1472) = 540224

Properties of LCM 1468 and 1472

(i) The LCM of 1472 and 1468 is associative

LCM of 1468 and 1472 = LCM of 1472 and 1468

Related Least Common Multiples of 1468

Related Least Common Multiples of 1472

Frequently Asked Questions on LCM of 1468 and 1472

1. What is the LCM of 1468 and 1472?

Answer: LCM of 1468 and 1472 is 540224.

2. 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.

3. What are the Factors of 1472?

Answer: Factors of 1472 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472. There are 14 integers that are factors of 1472. The greatest factor of 1472 is 1472.

4. How to Find the LCM of 1468 and 1472?

Answer:

Least Common Multiple of 1468 and 1472 = 540224

Step 1: Find the prime factorization of 1468

1468 = 2 x 2 x 367

Step 2: Find the prime factorization of 1472

1472 = 2 x 2 x 2 x 2 x 2 x 2 x 23

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

LCM = 540224 = 2 x 2 x 2 x 2 x 2 x 2 x 23 x 367

Step 4: Therefore, the least common multiple of 1468 and 1472 is 540224.