Least Common Multiple of 1456 and 1461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1456 and 1461 the smallest integer that is 2127216 that is divisible by both numbers.

Least Common Multiple (LCM) of 1456 and 1461 is 2127216.

LCM(1456,1461) = 2127216

LCM of 1456 and 1461

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

LCM of:
and

Least Common Multiple of 1456 and 1461

LCM of 1456 and 1461 is 2127216

Least common multiple can be found by multiplying the highest exponent prime factors of 1456 and 1461. First we will calculate the prime factors of 1456 and 1461.

Prime Factorization of 1456


2 1456
2 728
2 364
2 182
7 91
13 13
1

Prime factors of 1456 are 2, 7,13. Prime factorization of 1456 in exponential form is:

1456 = 24×71×131

Prime Factorization of 1461


3 1461
487 487
1

Prime factors of 1461 are 3,487. Prime factorization of 1461 in exponential form is:

1461 = 31×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 1456 and 1461.

LCM(1456,1461) = 24×31×71×131×4871
LCM(1456,1461) = 2127216

Factors of 1456

List of positive integer factors of 1456 that divides 1456 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456

Factors of 1461

List of positive integer factors of 1461 that divides 1461 without a remainder.

1, 3, 487, 1461

Least Common Multiple of 1456 and 1461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1456 and 1461, than apply into the LCM equation.

GCF(1456,1461) = 1
LCM(1456,1461) = ( 1456 × 1461) / 1
LCM(1456,1461) = 2127216 / 1
LCM(1456,1461) = 2127216

Properties of LCM 1456 and 1461

(i) The LCM of 1461 and 1456 is associative

LCM of 1456 and 1461 = LCM of 1461 and 1456

Related Least Common Multiples of 1456

Related Least Common Multiples of 1461

Frequently Asked Questions on LCM of 1456 and 1461

1. What is the LCM of 1456 and 1461?

Answer: LCM of 1456 and 1461 is 2127216.

2. What are the Factors of 1456?

Answer: Factors of 1456 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456. There are 20 integers that are factors of 1456. The greatest factor of 1456 is 1456.

3. What are the Factors of 1461?

Answer: Factors of 1461 are 1, 3, 487, 1461. There are 4 integers that are factors of 1461. The greatest factor of 1461 is 1461.

4. How to Find the LCM of 1456 and 1461?

Answer:

Least Common Multiple of 1456 and 1461 = 2127216

Step 1: Find the prime factorization of 1456

1456 = 2 x 2 x 2 x 2 x 7 x 13

Step 2: Find the prime factorization of 1461

1461 = 3 x 487

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

LCM = 2127216 = 2 x 2 x 2 x 2 x 3 x 7 x 13 x 487

Step 4: Therefore, the least common multiple of 1456 and 1461 is 2127216.