Least Common Multiple of 1467 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 1467 and 1472 the smallest integer that is 2159424 that is divisible by both numbers.

Least Common Multiple (LCM) of 1467 and 1472 is 2159424.

LCM(1467,1472) = 2159424

LCM of 1467 and 1472

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

LCM of:
and

Least Common Multiple of 1467 and 1472

LCM of 1467 and 1472 is 2159424

Least common multiple can be found by multiplying the highest exponent prime factors of 1467 and 1472. First we will calculate the prime factors of 1467 and 1472.

Prime Factorization of 1467


3 1467
3 489
163 163
1

Prime factors of 1467 are 3,163. Prime factorization of 1467 in exponential form is:

1467 = 32×1631

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 1467 and 1472.

LCM(1467,1472) = 26×32×231×1631
LCM(1467,1472) = 2159424

Factors of 1467

List of positive integer factors of 1467 that divides 1467 without a remainder.

1, 3, 9, 163, 489, 1467

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 1467 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 1467 and 1472, than apply into the LCM equation.

GCF(1467,1472) = 1
LCM(1467,1472) = ( 1467 × 1472) / 1
LCM(1467,1472) = 2159424 / 1
LCM(1467,1472) = 2159424

Properties of LCM 1467 and 1472

(i) The LCM of 1472 and 1467 is associative

LCM of 1467 and 1472 = LCM of 1472 and 1467

Related Least Common Multiples of 1467

Related Least Common Multiples of 1472

Frequently Asked Questions on LCM of 1467 and 1472

1. What is the LCM of 1467 and 1472?

Answer: LCM of 1467 and 1472 is 2159424.

2. What are the Factors of 1467?

Answer: Factors of 1467 are 1, 3, 9, 163, 489, 1467. There are 6 integers that are factors of 1467. The greatest factor of 1467 is 1467.

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 1467 and 1472?

Answer:

Least Common Multiple of 1467 and 1472 = 2159424

Step 1: Find the prime factorization of 1467

1467 = 3 x 3 x 163

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 = 2159424 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 23 x 163

Step 4: Therefore, the least common multiple of 1467 and 1472 is 2159424.