Least Common Multiple of 1462 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 1462 and 1465 the smallest integer that is 2141830 that is divisible by both numbers.

Least Common Multiple (LCM) of 1462 and 1465 is 2141830.

LCM(1462,1465) = 2141830

LCM of 1462 and 1465

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

LCM of:
and

Least Common Multiple of 1462 and 1465

LCM of 1462 and 1465 is 2141830

Least common multiple can be found by multiplying the highest exponent prime factors of 1462 and 1465. First we will calculate the prime factors of 1462 and 1465.

Prime Factorization of 1462


2 1462
17 731
43 43
1

Prime factors of 1462 are 2, 17,43. Prime factorization of 1462 in exponential form is:

1462 = 21×171×431

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 1462 and 1465.

LCM(1462,1465) = 21×51×171×431×2931
LCM(1462,1465) = 2141830

Factors of 1462

List of positive integer factors of 1462 that divides 1462 without a remainder.

1, 2, 17, 34, 43, 86, 731, 1462

Factors of 1465

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

1, 5, 293, 1465

Least Common Multiple of 1462 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 1462 and 1465, than apply into the LCM equation.

GCF(1462,1465) = 1
LCM(1462,1465) = ( 1462 × 1465) / 1
LCM(1462,1465) = 2141830 / 1
LCM(1462,1465) = 2141830

Properties of LCM 1462 and 1465

(i) The LCM of 1465 and 1462 is associative

LCM of 1462 and 1465 = LCM of 1465 and 1462

Related Least Common Multiples of 1462

Related Least Common Multiples of 1465

Frequently Asked Questions on LCM of 1462 and 1465

1. What is the LCM of 1462 and 1465?

Answer: LCM of 1462 and 1465 is 2141830.

2. What are the Factors of 1462?

Answer: Factors of 1462 are 1, 2, 17, 34, 43, 86, 731, 1462. There are 8 integers that are factors of 1462. The greatest factor of 1462 is 1462.

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 1462 and 1465?

Answer:

Least Common Multiple of 1462 and 1465 = 2141830

Step 1: Find the prime factorization of 1462

1462 = 2 x 17 x 43

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 = 2141830 = 2 x 5 x 17 x 43 x 293

Step 4: Therefore, the least common multiple of 1462 and 1465 is 2141830.