Least Common Multiple of 1464 and 1467

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 1467 the smallest integer that is 715896 that is divisible by both numbers.

Least Common Multiple (LCM) of 1464 and 1467 is 715896.

LCM(1464,1467) = 715896

LCM of 1464 and 1467

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

LCM of:
and

Least Common Multiple of 1464 and 1467

LCM of 1464 and 1467 is 715896

Least common multiple can be found by multiplying the highest exponent prime factors of 1464 and 1467. First we will calculate the prime factors of 1464 and 1467.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1464 and 1467.

LCM(1464,1467) = 23×32×611×1631
LCM(1464,1467) = 715896

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 1467

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

1, 3, 9, 163, 489, 1467

Least Common Multiple of 1464 and 1467 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 1467, than apply into the LCM equation.

GCF(1464,1467) = 3
LCM(1464,1467) = ( 1464 × 1467) / 3
LCM(1464,1467) = 2147688 / 3
LCM(1464,1467) = 715896

Properties of LCM 1464 and 1467

(i) The LCM of 1467 and 1464 is associative

LCM of 1464 and 1467 = LCM of 1467 and 1464

Related Least Common Multiples of 1464

Related Least Common Multiples of 1467

Frequently Asked Questions on LCM of 1464 and 1467

1. What is the LCM of 1464 and 1467?

Answer: LCM of 1464 and 1467 is 715896.

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 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.

4. How to Find the LCM of 1464 and 1467?

Answer:

Least Common Multiple of 1464 and 1467 = 715896

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 1467

1467 = 3 x 3 x 163

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

LCM = 715896 = 2 x 2 x 2 x 3 x 3 x 61 x 163

Step 4: Therefore, the least common multiple of 1464 and 1467 is 715896.