Least Common Multiple of 1464 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 1464 and 1468 the smallest integer that is 537288 that is divisible by both numbers.

Least Common Multiple (LCM) of 1464 and 1468 is 537288.

LCM(1464,1468) = 537288

LCM of 1464 and 1468

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

LCM of:
and

Least Common Multiple of 1464 and 1468

LCM of 1464 and 1468 is 537288

Least common multiple can be found by multiplying the highest exponent prime factors of 1464 and 1468. First we will calculate the prime factors of 1464 and 1468.

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 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 1464 and 1468.

LCM(1464,1468) = 23×31×611×3671
LCM(1464,1468) = 537288

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 1468

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

1, 2, 4, 367, 734, 1468

Least Common Multiple of 1464 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 1464 and 1468, than apply into the LCM equation.

GCF(1464,1468) = 4
LCM(1464,1468) = ( 1464 × 1468) / 4
LCM(1464,1468) = 2149152 / 4
LCM(1464,1468) = 537288

Properties of LCM 1464 and 1468

(i) The LCM of 1468 and 1464 is associative

LCM of 1464 and 1468 = LCM of 1468 and 1464

Related Least Common Multiples of 1464

Related Least Common Multiples of 1468

Frequently Asked Questions on LCM of 1464 and 1468

1. What is the LCM of 1464 and 1468?

Answer: LCM of 1464 and 1468 is 537288.

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 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 1464 and 1468?

Answer:

Least Common Multiple of 1464 and 1468 = 537288

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 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 = 537288 = 2 x 2 x 2 x 3 x 61 x 367

Step 4: Therefore, the least common multiple of 1464 and 1468 is 537288.