Least Common Multiple of 1461 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 1461 and 1468 the smallest integer that is 2144748 that is divisible by both numbers.

Least Common Multiple (LCM) of 1461 and 1468 is 2144748.

LCM(1461,1468) = 2144748

LCM of 1461 and 1468

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

LCM of:
and

Least Common Multiple of 1461 and 1468

LCM of 1461 and 1468 is 2144748

Least common multiple can be found by multiplying the highest exponent prime factors of 1461 and 1468. First we will calculate the prime factors of 1461 and 1468.

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

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 1461 and 1468.

LCM(1461,1468) = 22×31×3671×4871
LCM(1461,1468) = 2144748

Factors of 1461

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

1, 3, 487, 1461

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 1461 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 1461 and 1468, than apply into the LCM equation.

GCF(1461,1468) = 1
LCM(1461,1468) = ( 1461 × 1468) / 1
LCM(1461,1468) = 2144748 / 1
LCM(1461,1468) = 2144748

Properties of LCM 1461 and 1468

(i) The LCM of 1468 and 1461 is associative

LCM of 1461 and 1468 = LCM of 1468 and 1461

Related Least Common Multiples of 1461

Related Least Common Multiples of 1468

Frequently Asked Questions on LCM of 1461 and 1468

1. What is the LCM of 1461 and 1468?

Answer: LCM of 1461 and 1468 is 2144748.

2. 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.

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 1461 and 1468?

Answer:

Least Common Multiple of 1461 and 1468 = 2144748

Step 1: Find the prime factorization of 1461

1461 = 3 x 487

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 = 2144748 = 2 x 2 x 3 x 367 x 487

Step 4: Therefore, the least common multiple of 1461 and 1468 is 2144748.