Least Common Multiple of 1464 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 1464 and 1472 the smallest integer that is 269376 that is divisible by both numbers.

Least Common Multiple (LCM) of 1464 and 1472 is 269376.

LCM(1464,1472) = 269376

LCM of 1464 and 1472

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

LCM of:
and

Least Common Multiple of 1464 and 1472

LCM of 1464 and 1472 is 269376

Least common multiple can be found by multiplying the highest exponent prime factors of 1464 and 1472. First we will calculate the prime factors of 1464 and 1472.

Prime Factorization of 1464


2 1464
2 732
2 366
3 183
61 61
1

Prime factors of 1464 are 2, 3,61. Prime factorization of 1464 in exponential form is:

1464 = 23×31×611

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 1464 and 1472.

LCM(1464,1472) = 26×31×231×611
LCM(1464,1472) = 269376

Factors of 1464

List of positive integer factors of 1464 that divides 1464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464

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 1464 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 1464 and 1472, than apply into the LCM equation.

GCF(1464,1472) = 8
LCM(1464,1472) = ( 1464 × 1472) / 8
LCM(1464,1472) = 2155008 / 8
LCM(1464,1472) = 269376

Properties of LCM 1464 and 1472

(i) The LCM of 1472 and 1464 is associative

LCM of 1464 and 1472 = LCM of 1472 and 1464

Related Least Common Multiples of 1464

Related Least Common Multiples of 1472

Frequently Asked Questions on LCM of 1464 and 1472

1. What is the LCM of 1464 and 1472?

Answer: LCM of 1464 and 1472 is 269376.

2. What are the Factors of 1464?

Answer: Factors of 1464 are 1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464. There are 16 integers that are factors of 1464. The greatest factor of 1464 is 1464.

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 1464 and 1472?

Answer:

Least Common Multiple of 1464 and 1472 = 269376

Step 1: Find the prime factorization of 1464

1464 = 2 x 2 x 2 x 3 x 61

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 = 269376 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 23 x 61

Step 4: Therefore, the least common multiple of 1464 and 1472 is 269376.