Least Common Multiple of 1461 and 1465

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 1465 the smallest integer that is 2140365 that is divisible by both numbers.

Least Common Multiple (LCM) of 1461 and 1465 is 2140365.

LCM(1461,1465) = 2140365

LCM of 1461 and 1465

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

LCM of:
and

Least Common Multiple of 1461 and 1465

LCM of 1461 and 1465 is 2140365

Least common multiple can be found by multiplying the highest exponent prime factors of 1461 and 1465. First we will calculate the prime factors of 1461 and 1465.

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 1465


5 1465
293 293
1

Prime factors of 1465 are 5,293. Prime factorization of 1465 in exponential form is:

1465 = 51×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 1461 and 1465.

LCM(1461,1465) = 31×51×2931×4871
LCM(1461,1465) = 2140365

Factors of 1461

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

1, 3, 487, 1461

Factors of 1465

List of positive integer factors of 1465 that divides 1465 without a remainder.

1, 5, 293, 1465

Least Common Multiple of 1461 and 1465 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 1465, than apply into the LCM equation.

GCF(1461,1465) = 1
LCM(1461,1465) = ( 1461 × 1465) / 1
LCM(1461,1465) = 2140365 / 1
LCM(1461,1465) = 2140365

Properties of LCM 1461 and 1465

(i) The LCM of 1465 and 1461 is associative

LCM of 1461 and 1465 = LCM of 1465 and 1461

Related Least Common Multiples of 1461

Related Least Common Multiples of 1465

Frequently Asked Questions on LCM of 1461 and 1465

1. What is the LCM of 1461 and 1465?

Answer: LCM of 1461 and 1465 is 2140365.

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 1465?

Answer: Factors of 1465 are 1, 5, 293, 1465. There are 4 integers that are factors of 1465. The greatest factor of 1465 is 1465.

4. How to Find the LCM of 1461 and 1465?

Answer:

Least Common Multiple of 1461 and 1465 = 2140365

Step 1: Find the prime factorization of 1461

1461 = 3 x 487

Step 2: Find the prime factorization of 1465

1465 = 5 x 293

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

LCM = 2140365 = 3 x 5 x 293 x 487

Step 4: Therefore, the least common multiple of 1461 and 1465 is 2140365.